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Finding the Fourth Proportional to 497,410.68, 686,424.58 and 271,056.20

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Solution

The fourth proportional to 497,410.68, 686,424.58 and 271,056.20 is: 374,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,410.68 : 686,424.58 = 271,056.20 : x
  2. Step 2: Convert to fraction form
    497,410.68/686,424.58 = 271,056.20/x
  3. Step 3: Cross multiply
    497,410.68x = 686,424.58 × 271,056.20
  4. Step 4: Simplify right side
    497,410.68x = 186,059,638,241.40
  5. Step 5: Solve for x
    x = 186,059,638,241.40/497,410.68
  6. Step 6: Final answer
    x = 374,056.38

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Half scale
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Double scale
Find fourth proportional to 497,411.68, 686,425.96 and 271,057.20
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.