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Finding the Fourth Proportional to 497,396.04, 686,407.41 and 271,041.54

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Solution

The fourth proportional to 497,396.04, 686,407.41 and 271,041.54 is: 374,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,396.04 : 686,407.41 = 271,041.54 : x
  2. Step 2: Convert to fraction form
    497,396.04/686,407.41 = 271,041.54/x
  3. Step 3: Cross multiply
    497,396.04x = 686,407.41 × 271,041.54
  4. Step 4: Simplify right side
    497,396.04x = 186,044,921,473.81
  5. Step 5: Solve for x
    x = 186,044,921,473.81/497,396.04
  6. Step 6: Final answer
    x = 374,037.80

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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.