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Finding the Fourth Proportional to 498,857.46, 748,092.06 and 161,816.61

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Solution

The fourth proportional to 498,857.46, 748,092.06 and 161,816.61 is: 242,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,857.46 : 748,092.06 = 161,816.61 : x
  2. Step 2: Convert to fraction form
    498,857.46/748,092.06 = 161,816.61/x
  3. Step 3: Cross multiply
    498,857.46x = 748,092.06 × 161,816.61
  4. Step 4: Simplify right side
    498,857.46x = 121,053,718,311.77
  5. Step 5: Solve for x
    x = 121,053,718,311.77/498,857.46
  6. Step 6: Final answer
    x = 242,661.94

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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.