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Finding the Fourth Proportional to 525,791.52, 725,592.60 and 284,074.02

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Solution

The fourth proportional to 525,791.52, 725,592.60 and 284,074.02 is: 392,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,791.52 : 725,592.60 = 284,074.02 : x
  2. Step 2: Convert to fraction form
    525,791.52/725,592.60 = 284,074.02/x
  3. Step 3: Cross multiply
    525,791.52x = 725,592.60 × 284,074.02
  4. Step 4: Simplify right side
    525,791.52x = 206,122,006,764.25
  5. Step 5: Solve for x
    x = 206,122,006,764.25/525,791.52
  6. Step 6: Final answer
    x = 392,022.31

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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.