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Finding the Fourth Proportional to 394,523.70, 592,077.15 and 261,359.70

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Solution

The fourth proportional to 394,523.70, 592,077.15 and 261,359.70 is: 392,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,523.70 : 592,077.15 = 261,359.70 : x
  2. Step 2: Convert to fraction form
    394,523.70/592,077.15 = 261,359.70/x
  3. Step 3: Cross multiply
    394,523.70x = 592,077.15 × 261,359.70
  4. Step 4: Simplify right side
    394,523.70x = 154,745,106,300.86
  5. Step 5: Solve for x
    x = 154,745,106,300.86/394,523.70
  6. Step 6: Final answer
    x = 392,232.73

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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.