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Finding the Fourth Proportional to 525,770.22, 725,563.24 and 284,052.66

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Solution

The fourth proportional to 525,770.22, 725,563.24 and 284,052.66 is: 391,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,770.22 : 725,563.24 = 284,052.66 : x
  2. Step 2: Convert to fraction form
    525,770.22/725,563.24 = 284,052.66/x
  3. Step 3: Cross multiply
    525,770.22x = 725,563.24 × 284,052.66
  4. Step 4: Simplify right side
    525,770.22x = 206,098,168,320.22
  5. Step 5: Solve for x
    x = 206,098,168,320.22/525,770.22
  6. Step 6: Final answer
    x = 391,992.85

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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.