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Finding the Fourth Proportional to 416,202.20, 574,360.54 and 225,215.57

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Solution

The fourth proportional to 416,202.20, 574,360.54 and 225,215.57 is: 310,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,202.20 : 574,360.54 = 225,215.57 : x
  2. Step 2: Convert to fraction form
    416,202.20/574,360.54 = 225,215.57/x
  3. Step 3: Cross multiply
    416,202.20x = 574,360.54 × 225,215.57
  4. Step 4: Simplify right side
    416,202.20x = 129,354,937,274.47
  5. Step 5: Solve for x
    x = 129,354,937,274.47/416,202.20
  6. Step 6: Final answer
    x = 310,798.30

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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.