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Finding the Fourth Proportional to 416,083.36, 574,194.52 and 225,096.16

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Solution

The fourth proportional to 416,083.36, 574,194.52 and 225,096.16 is: 310,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,083.36 : 574,194.52 = 225,096.16 : x
  2. Step 2: Convert to fraction form
    416,083.36/574,194.52 = 225,096.16/x
  3. Step 3: Cross multiply
    416,083.36x = 574,194.52 × 225,096.16
  4. Step 4: Simplify right side
    416,083.36x = 129,248,981,545.04
  5. Step 5: Solve for x
    x = 129,248,981,545.04/416,083.36
  6. Step 6: Final answer
    x = 310,632.42

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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.