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Finding the Fourth Proportional to 416,217.78, 574,384.62 and 225,235.26

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Solution

The fourth proportional to 416,217.78, 574,384.62 and 225,235.26 is: 310,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,217.78 : 574,384.62 = 225,235.26 : x
  2. Step 2: Convert to fraction form
    416,217.78/574,384.62 = 225,235.26/x
  3. Step 3: Cross multiply
    416,217.78x = 574,384.62 × 225,235.26
  4. Step 4: Simplify right side
    416,217.78x = 129,371,669,225.70
  5. Step 5: Solve for x
    x = 129,371,669,225.70/416,217.78
  6. Step 6: Final answer
    x = 310,826.87

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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.