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Finding the Fourth Proportional to 574,296.24, 861,488.10 and 174,971.10

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Solution

The fourth proportional to 574,296.24, 861,488.10 and 174,971.10 is: 262,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,296.24 : 861,488.10 = 174,971.10 : x
  2. Step 2: Convert to fraction form
    574,296.24/861,488.10 = 174,971.10/x
  3. Step 3: Cross multiply
    574,296.24x = 861,488.10 × 174,971.10
  4. Step 4: Simplify right side
    574,296.24x = 150,735,520,493.91
  5. Step 5: Solve for x
    x = 150,735,520,493.91/574,296.24
  6. Step 6: Final answer
    x = 262,469.98

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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.