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Finding the Fourth Proportional to 525,792.52, 725,593.98 and 284,075.02

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Solution

The fourth proportional to 525,792.52, 725,593.98 and 284,075.02 is: 392,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,792.52 : 725,593.98 = 284,075.02 : x
  2. Step 2: Convert to fraction form
    525,792.52/725,593.98 = 284,075.02/x
  3. Step 3: Cross multiply
    525,792.52x = 725,593.98 × 284,075.02
  4. Step 4: Simplify right side
    525,792.52x = 206,123,124,380.38
  5. Step 5: Solve for x
    x = 206,123,124,380.38/525,792.52
  6. Step 6: Final answer
    x = 392,023.69

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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.