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Finding the Fourth Proportional to 498,759.13, 748,243.83 and 161,773.57

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Solution

The fourth proportional to 498,759.13, 748,243.83 and 161,773.57 is: 242,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,759.13 : 748,243.83 = 161,773.57 : x
  2. Step 2: Convert to fraction form
    498,759.13/748,243.83 = 161,773.57/x
  3. Step 3: Cross multiply
    498,759.13x = 748,243.83 × 161,773.57
  4. Step 4: Simplify right side
    498,759.13x = 121,046,071,059.49
  5. Step 5: Solve for x
    x = 121,046,071,059.49/498,759.13
  6. Step 6: Final answer
    x = 242,694.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.