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Finding the Fourth Proportional to 497,451.44, 686,462.96 and 271,092.08

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Solution

The fourth proportional to 497,451.44, 686,462.96 and 271,092.08 is: 374,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,451.44 : 686,462.96 = 271,092.08 : x
  2. Step 2: Convert to fraction form
    497,451.44/686,462.96 = 271,092.08/x
  3. Step 3: Cross multiply
    497,451.44x = 686,462.96 × 271,092.08
  4. Step 4: Simplify right side
    497,451.44x = 186,094,671,669.36
  5. Step 5: Solve for x
    x = 186,094,671,669.36/497,451.44
  6. Step 6: Final answer
    x = 374,096.16

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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.