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Finding the Fourth Proportional to 574,138.86, 861,332.76 and 174,769.20

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Solution

The fourth proportional to 574,138.86, 861,332.76 and 174,769.20 is: 262,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,138.86 : 861,332.76 = 174,769.20 : x
  2. Step 2: Convert to fraction form
    574,138.86/861,332.76 = 174,769.20/x
  3. Step 3: Cross multiply
    574,138.86x = 861,332.76 × 174,769.20
  4. Step 4: Simplify right side
    574,138.86x = 150,534,437,398.99
  5. Step 5: Solve for x
    x = 150,534,437,398.99/574,138.86
  6. Step 6: Final answer
    x = 262,191.69

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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.