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Finding the Fourth Proportional to 416,732.40, 575,092.12 and 225,745.20

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Solution

The fourth proportional to 416,732.40, 575,092.12 and 225,745.20 is: 311,529.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,732.40 : 575,092.12 = 225,745.20 : x
  2. Step 2: Convert to fraction form
    416,732.40/575,092.12 = 225,745.20/x
  3. Step 3: Cross multiply
    416,732.40x = 575,092.12 × 225,745.20
  4. Step 4: Simplify right side
    416,732.40x = 129,824,285,647.82
  5. Step 5: Solve for x
    x = 129,824,285,647.82/416,732.40
  6. Step 6: Final answer
    x = 311,529.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.