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Finding the Fourth Proportional to 526,311.53, 726,309.38 and 284,593.53

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Solution

The fourth proportional to 526,311.53, 726,309.38 and 284,593.53 is: 392,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,311.53 : 726,309.38 = 284,593.53 : x
  2. Step 2: Convert to fraction form
    526,311.53/726,309.38 = 284,593.53/x
  3. Step 3: Cross multiply
    526,311.53x = 726,309.38 × 284,593.53
  4. Step 4: Simplify right side
    526,311.53x = 206,702,948,903.34
  5. Step 5: Solve for x
    x = 206,702,948,903.34/526,311.53
  6. Step 6: Final answer
    x = 392,738.79

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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.