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Finding the Fourth Proportional to 465,389.28, 642,220.20 and 284,404.14

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Solution

The fourth proportional to 465,389.28, 642,220.20 and 284,404.14 is: 392,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,389.28 : 642,220.20 = 284,404.14 : x
  2. Step 2: Convert to fraction form
    465,389.28/642,220.20 = 284,404.14/x
  3. Step 3: Cross multiply
    465,389.28x = 642,220.20 × 284,404.14
  4. Step 4: Simplify right side
    465,389.28x = 182,650,083,671.63
  5. Step 5: Solve for x
    x = 182,650,083,671.63/465,389.28
  6. Step 6: Final answer
    x = 392,467.32

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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.