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Finding the Fourth Proportional to 506,578.38, 699,100.10 and 280,223.88

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Solution

The fourth proportional to 506,578.38, 699,100.10 and 280,223.88 is: 386,721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,578.38 : 699,100.10 = 280,223.88 : x
  2. Step 2: Convert to fraction form
    506,578.38/699,100.10 = 280,223.88/x
  3. Step 3: Cross multiply
    506,578.38x = 699,100.10 × 280,223.88
  4. Step 4: Simplify right side
    506,578.38x = 195,904,542,530.39
  5. Step 5: Solve for x
    x = 195,904,542,530.39/506,578.38
  6. Step 6: Final answer
    x = 386,721.09

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1.5x scale

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.