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Finding the Fourth Proportional to 274,327.87, 411,565.76 and 114,350.64

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Solution

The fourth proportional to 274,327.87, 411,565.76 and 114,350.64 is: 171,556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,327.87 : 411,565.76 = 114,350.64 : x
  2. Step 2: Convert to fraction form
    274,327.87/411,565.76 = 114,350.64/x
  3. Step 3: Cross multiply
    274,327.87x = 411,565.76 × 114,350.64
  4. Step 4: Simplify right side
    274,327.87x = 47,062,807,402.83
  5. Step 5: Solve for x
    x = 47,062,807,402.83/274,327.87
  6. Step 6: Final answer
    x = 171,556.78

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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.