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Finding the Fourth Proportional to 525,882.06, 725,717.22 and 284,164.63

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Solution

The fourth proportional to 525,882.06, 725,717.22 and 284,164.63 is: 392,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,882.06 : 725,717.22 = 284,164.63 : x
  2. Step 2: Convert to fraction form
    525,882.06/725,717.22 = 284,164.63/x
  3. Step 3: Cross multiply
    525,882.06x = 725,717.22 × 284,164.63
  4. Step 4: Simplify right side
    525,882.06x = 206,223,162,387.75
  5. Step 5: Solve for x
    x = 206,223,162,387.75/525,882.06
  6. Step 6: Final answer
    x = 392,147.17

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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.