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Finding the Fourth Proportional to 465,830.52, 642,869.22 and 284,513.10

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Solution

The fourth proportional to 465,830.52, 642,869.22 and 284,513.10 is: 392,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,830.52 : 642,869.22 = 284,513.10 : x
  2. Step 2: Convert to fraction form
    465,830.52/642,869.22 = 284,513.10/x
  3. Step 3: Cross multiply
    465,830.52x = 642,869.22 × 284,513.10
  4. Step 4: Simplify right side
    465,830.52x = 182,904,714,676.78
  5. Step 5: Solve for x
    x = 182,904,714,676.78/465,830.52
  6. Step 6: Final answer
    x = 392,642.19

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