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Finding the Fourth Proportional to 525,523.16, 725,221.85 and 283,805.70

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Solution

The fourth proportional to 525,523.16, 725,221.85 and 283,805.70 is: 391,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,523.16 : 725,221.85 = 283,805.70 : x
  2. Step 2: Convert to fraction form
    525,523.16/725,221.85 = 283,805.70/x
  3. Step 3: Cross multiply
    525,523.16x = 725,221.85 × 283,805.70
  4. Step 4: Simplify right side
    525,523.16x = 205,822,093,375.52
  5. Step 5: Solve for x
    x = 205,822,093,375.52/525,523.16
  6. Step 6: Final answer
    x = 391,651.81

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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.