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Finding the Fourth Proportional to 498,938.17, 688,535.35 and 284,078.33

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Solution

The fourth proportional to 498,938.17, 688,535.35 and 284,078.33 is: 392,028.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,938.17 : 688,535.35 = 284,078.33 : x
  2. Step 2: Convert to fraction form
    498,938.17/688,535.35 = 284,078.33/x
  3. Step 3: Cross multiply
    498,938.17x = 688,535.35 × 284,078.33
  4. Step 4: Simplify right side
    498,938.17x = 195,597,972,373.97
  5. Step 5: Solve for x
    x = 195,597,972,373.97/498,938.17
  6. Step 6: Final answer
    x = 392,028.48

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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.