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Finding the Fourth Proportional to 416,726.40, 575,083.84 and 225,739.20

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Solution

The fourth proportional to 416,726.40, 575,083.84 and 225,739.20 is: 311,520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,726.40 : 575,083.84 = 225,739.20 : x
  2. Step 2: Convert to fraction form
    416,726.40/575,083.84 = 225,739.20/x
  3. Step 3: Cross multiply
    416,726.40x = 575,083.84 × 225,739.20
  4. Step 4: Simplify right side
    416,726.40x = 129,818,965,974.53
  5. Step 5: Solve for x
    x = 129,818,965,974.53/416,726.40
  6. Step 6: Final answer
    x = 311,520.86

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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.