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Finding the Fourth Proportional to 457,034.40, 685,691.64 and 204,527.44

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Solution

The fourth proportional to 457,034.40, 685,691.64 and 204,527.44 is: 306,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,034.40 : 685,691.64 = 204,527.44 : x
  2. Step 2: Convert to fraction form
    457,034.40/685,691.64 = 204,527.44/x
  3. Step 3: Cross multiply
    457,034.40x = 685,691.64 × 204,527.44
  4. Step 4: Simplify right side
    457,034.40x = 140,242,755,758.60
  5. Step 5: Solve for x
    x = 140,242,755,758.60/457,034.40
  6. Step 6: Final answer
    x = 306,853.83

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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.