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Finding the Fourth Proportional to 514,349.57, 771,243.10 and 408,414.03

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Solution

The fourth proportional to 514,349.57, 771,243.10 and 408,414.03 is: 612,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,349.57 : 771,243.10 = 408,414.03 : x
  2. Step 2: Convert to fraction form
    514,349.57/771,243.10 = 408,414.03/x
  3. Step 3: Cross multiply
    514,349.57x = 771,243.10 × 408,414.03
  4. Step 4: Simplify right side
    514,349.57x = 314,986,498,667.50
  5. Step 5: Solve for x
    x = 314,986,498,667.50/514,349.57
  6. Step 6: Final answer
    x = 612,397.71

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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.