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Finding the Fourth Proportional to 384,042.62, 530,178.15 and 280,560.69

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Solution

The fourth proportional to 384,042.62, 530,178.15 and 280,560.69 is: 387,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,042.62 : 530,178.15 = 280,560.69 : x
  2. Step 2: Convert to fraction form
    384,042.62/530,178.15 = 280,560.69/x
  3. Step 3: Cross multiply
    384,042.62x = 530,178.15 × 280,560.69
  4. Step 4: Simplify right side
    384,042.62x = 148,747,147,586.92
  5. Step 5: Solve for x
    x = 148,747,147,586.92/384,042.62
  6. Step 6: Final answer
    x = 387,319.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.