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Finding the Fourth Proportional to 498,754.61, 748,237.07 and 161,769.05

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Solution

The fourth proportional to 498,754.61, 748,237.07 and 161,769.05 is: 242,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,754.61 : 748,237.07 = 161,769.05 : x
  2. Step 2: Convert to fraction form
    498,754.61/748,237.07 = 161,769.05/x
  3. Step 3: Cross multiply
    498,754.61x = 748,237.07 × 161,769.05
  4. Step 4: Simplify right side
    498,754.61x = 121,041,599,002.83
  5. Step 5: Solve for x
    x = 121,041,599,002.83/498,754.61
  6. Step 6: Final answer
    x = 242,687.68

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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.