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Finding the Fourth Proportional to 416,778.27, 625,167.40 and 101,233.05

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Solution

The fourth proportional to 416,778.27, 625,167.40 and 101,233.05 is: 151,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,778.27 : 625,167.40 = 101,233.05 : x
  2. Step 2: Convert to fraction form
    416,778.27/625,167.40 = 101,233.05/x
  3. Step 3: Cross multiply
    416,778.27x = 625,167.40 × 101,233.05
  4. Step 4: Simplify right side
    416,778.27x = 63,287,602,662.57
  5. Step 5: Solve for x
    x = 63,287,602,662.57/416,778.27
  6. Step 6: Final answer
    x = 151,849.57

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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.