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Finding the Fourth Proportional to 342,229.46, 513,304.96 and 89,534.34

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Solution

The fourth proportional to 342,229.46, 513,304.96 and 89,534.34 is: 134,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,229.46 : 513,304.96 = 89,534.34 : x
  2. Step 2: Convert to fraction form
    342,229.46/513,304.96 = 89,534.34/x
  3. Step 3: Cross multiply
    342,229.46x = 513,304.96 × 89,534.34
  4. Step 4: Simplify right side
    342,229.46x = 45,958,418,245.80
  5. Step 5: Solve for x
    x = 45,958,418,245.80/342,229.46
  6. Step 6: Final answer
    x = 134,291.24

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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.