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Finding the Fourth Proportional to 498,763.48, 748,250.24 and 161,777.76

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Solution

The fourth proportional to 498,763.48, 748,250.24 and 161,777.76 is: 242,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,763.48 : 748,250.24 = 161,777.76 : x
  2. Step 2: Convert to fraction form
    498,763.48/748,250.24 = 161,777.76/x
  3. Step 3: Cross multiply
    498,763.48x = 748,250.24 × 161,777.76
  4. Step 4: Simplify right side
    498,763.48x = 121,050,247,746.66
  5. Step 5: Solve for x
    x = 121,050,247,746.66/498,763.48
  6. Step 6: Final answer
    x = 242,700.70

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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.