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Finding the Fourth Proportional to 632,712.30, 949,167.42 and 206,149.10

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Solution

The fourth proportional to 632,712.30, 949,167.42 and 206,149.10 is: 309,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,712.30 : 949,167.42 = 206,149.10 : x
  2. Step 2: Convert to fraction form
    632,712.30/949,167.42 = 206,149.10/x
  3. Step 3: Cross multiply
    632,712.30x = 949,167.42 × 206,149.10
  4. Step 4: Simplify right side
    632,712.30x = 195,670,009,382.32
  5. Step 5: Solve for x
    x = 195,670,009,382.32/632,712.30
  6. Step 6: Final answer
    x = 309,255.90

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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.