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Finding the Fourth Proportional to 516,523.92, 774,342.08 and 179,520.78

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Solution

The fourth proportional to 516,523.92, 774,342.08 and 179,520.78 is: 269,126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,523.92 : 774,342.08 = 179,520.78 : x
  2. Step 2: Convert to fraction form
    516,523.92/774,342.08 = 179,520.78/x
  3. Step 3: Cross multiply
    516,523.92x = 774,342.08 × 179,520.78
  4. Step 4: Simplify right side
    516,523.92x = 139,010,494,188.42
  5. Step 5: Solve for x
    x = 139,010,494,188.42/516,523.92
  6. Step 6: Final answer
    x = 269,126.92

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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.