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Finding the Fourth Proportional to 416,726.41, 575,082.40 and 225,739.75

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Solution

The fourth proportional to 416,726.41, 575,082.40 and 225,739.75 is: 311,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,726.41 : 575,082.40 = 225,739.75 : x
  2. Step 2: Convert to fraction form
    416,726.41/575,082.40 = 225,739.75/x
  3. Step 3: Cross multiply
    416,726.41x = 575,082.40 × 225,739.75
  4. Step 4: Simplify right side
    416,726.41x = 129,818,957,205.40
  5. Step 5: Solve for x
    x = 129,818,957,205.40/416,726.41
  6. Step 6: Final answer
    x = 311,520.83

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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.