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Finding the Fourth Proportional to 416,152.98, 574,287.03 and 225,162.18

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Solution

The fourth proportional to 416,152.98, 574,287.03 and 225,162.18 is: 310,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,152.98 : 574,287.03 = 225,162.18 : x
  2. Step 2: Convert to fraction form
    416,152.98/574,287.03 = 225,162.18/x
  3. Step 3: Cross multiply
    416,152.98x = 574,287.03 × 225,162.18
  4. Step 4: Simplify right side
    416,152.98x = 129,307,719,620.53
  5. Step 5: Solve for x
    x = 129,307,719,620.53/416,152.98
  6. Step 6: Final answer
    x = 310,721.60

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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.