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Finding the Fourth Proportional to 498,764.07, 748,251.23 and 161,778.50

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Solution

The fourth proportional to 498,764.07, 748,251.23 and 161,778.50 is: 242,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,764.07 : 748,251.23 = 161,778.50 : x
  2. Step 2: Convert to fraction form
    498,764.07/748,251.23 = 161,778.50/x
  3. Step 3: Cross multiply
    498,764.07x = 748,251.23 × 161,778.50
  4. Step 4: Simplify right side
    498,764.07x = 121,050,961,612.56
  5. Step 5: Solve for x
    x = 121,050,961,612.56/498,764.07
  6. Step 6: Final answer
    x = 242,701.85

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