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Finding the Fourth Proportional to 472,229.61, 708,135.42 and 135,193.47

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Solution

The fourth proportional to 472,229.61, 708,135.42 and 135,193.47 is: 202,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,229.61 : 708,135.42 = 135,193.47 : x
  2. Step 2: Convert to fraction form
    472,229.61/708,135.42 = 135,193.47/x
  3. Step 3: Cross multiply
    472,229.61x = 708,135.42 × 135,193.47
  4. Step 4: Simplify right side
    472,229.61x = 95,735,284,659.71
  5. Step 5: Solve for x
    x = 95,735,284,659.71/472,229.61
  6. Step 6: Final answer
    x = 202,730.37

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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.