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Finding the Fourth Proportional to 506,578.88, 699,100.79 and 280,224.38

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Solution

The fourth proportional to 506,578.88, 699,100.79 and 280,224.38 is: 386,721.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,578.88 : 699,100.79 = 280,224.38 : x
  2. Step 2: Convert to fraction form
    506,578.88/699,100.79 = 280,224.38/x
  3. Step 3: Cross multiply
    506,578.88x = 699,100.79 × 280,224.38
  4. Step 4: Simplify right side
    506,578.88x = 195,905,085,435.26
  5. Step 5: Solve for x
    x = 195,905,085,435.26/506,578.88
  6. Step 6: Final answer
    x = 386,721.78

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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.