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Finding the Fourth Proportional to 498,271.50, 747,407.25 and 161,593.79

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Solution

The fourth proportional to 498,271.50, 747,407.25 and 161,593.79 is: 242,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,271.50 : 747,407.25 = 161,593.79 : x
  2. Step 2: Convert to fraction form
    498,271.50/747,407.25 = 161,593.79/x
  3. Step 3: Cross multiply
    498,271.50x = 747,407.25 × 161,593.79
  4. Step 4: Simplify right side
    498,271.50x = 120,776,366,463.94
  5. Step 5: Solve for x
    x = 120,776,366,463.94/498,271.50
  6. Step 6: Final answer
    x = 242,390.68

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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.