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Finding the Fourth Proportional to 433,862.10, 650,793.15 and 281,646.90

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Solution

The fourth proportional to 433,862.10, 650,793.15 and 281,646.90 is: 422,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,862.10 : 650,793.15 = 281,646.90 : x
  2. Step 2: Convert to fraction form
    433,862.10/650,793.15 = 281,646.90/x
  3. Step 3: Cross multiply
    433,862.10x = 650,793.15 × 281,646.90
  4. Step 4: Simplify right side
    433,862.10x = 183,293,873,238.74
  5. Step 5: Solve for x
    x = 183,293,873,238.74/433,862.10
  6. Step 6: Final answer
    x = 422,470.35

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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.