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Finding the Fourth Proportional to 541,909.64, 747,861.72 and 327,045.80

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Solution

The fourth proportional to 541,909.64, 747,861.72 and 327,045.80 is: 451,339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,909.64 : 747,861.72 = 327,045.80 : x
  2. Step 2: Convert to fraction form
    541,909.64/747,861.72 = 327,045.80/x
  3. Step 3: Cross multiply
    541,909.64x = 747,861.72 × 327,045.80
  4. Step 4: Simplify right side
    541,909.64x = 244,585,034,506.78
  5. Step 5: Solve for x
    x = 244,585,034,506.78/541,909.64
  6. Step 6: Final answer
    x = 451,339.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.