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Finding the Fourth Proportional to 341,098.68, 511,711.20 and 116,446.80

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Solution

The fourth proportional to 341,098.68, 511,711.20 and 116,446.80 is: 174,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,098.68 : 511,711.20 = 116,446.80 : x
  2. Step 2: Convert to fraction form
    341,098.68/511,711.20 = 116,446.80/x
  3. Step 3: Cross multiply
    341,098.68x = 511,711.20 × 116,446.80
  4. Step 4: Simplify right side
    341,098.68x = 59,587,131,764.16
  5. Step 5: Solve for x
    x = 59,587,131,764.16/341,098.68
  6. Step 6: Final answer
    x = 174,691.77

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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.