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Finding the Fourth Proportional to 574,461.20, 861,691.80 and 397,314.20

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Solution

The fourth proportional to 574,461.20, 861,691.80 and 397,314.20 is: 595,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,461.20 : 861,691.80 = 397,314.20 : x
  2. Step 2: Convert to fraction form
    574,461.20/861,691.80 = 397,314.20/x
  3. Step 3: Cross multiply
    574,461.20x = 861,691.80 × 397,314.20
  4. Step 4: Simplify right side
    574,461.20x = 342,362,388,163.56
  5. Step 5: Solve for x
    x = 342,362,388,163.56/574,461.20
  6. Step 6: Final answer
    x = 595,971.30

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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.