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Finding the Fourth Proportional to 416,753.92, 575,115.20 and 225,762.56

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Solution

The fourth proportional to 416,753.92, 575,115.20 and 225,762.56 is: 311,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,753.92 : 575,115.20 = 225,762.56 : x
  2. Step 2: Convert to fraction form
    416,753.92/575,115.20 = 225,762.56/x
  3. Step 3: Cross multiply
    416,753.92x = 575,115.20 × 225,762.56
  4. Step 4: Simplify right side
    416,753.92x = 129,839,479,846.91
  5. Step 5: Solve for x
    x = 129,839,479,846.91/416,753.92
  6. Step 6: Final answer
    x = 311,549.51

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1.5x scale

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.