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Finding the Fourth Proportional to 507,223.28, 699,989.24 and 280,868.78

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Solution

The fourth proportional to 507,223.28, 699,989.24 and 280,868.78 is: 387,610.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,223.28 : 699,989.24 = 280,868.78 : x
  2. Step 2: Convert to fraction form
    507,223.28/699,989.24 = 280,868.78/x
  3. Step 3: Cross multiply
    507,223.28x = 699,989.24 × 280,868.78
  4. Step 4: Simplify right side
    507,223.28x = 196,605,122,447.58
  5. Step 5: Solve for x
    x = 196,605,122,447.58/507,223.28
  6. Step 6: Final answer
    x = 387,610.61

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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.