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Finding the Fourth Proportional to 498,759.68, 748,244.73 and 161,774.17

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Solution

The fourth proportional to 498,759.68, 748,244.73 and 161,774.17 is: 242,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,759.68 : 748,244.73 = 161,774.17 : x
  2. Step 2: Convert to fraction form
    498,759.68/748,244.73 = 161,774.17/x
  3. Step 3: Cross multiply
    498,759.68x = 748,244.73 × 161,774.17
  4. Step 4: Simplify right side
    498,759.68x = 121,046,670,152.62
  5. Step 5: Solve for x
    x = 121,046,670,152.62/498,759.68
  6. Step 6: Final answer
    x = 242,695.38

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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.