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Finding the Fourth Proportional to 416,631.90, 574,949.16 and 225,640.92

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Solution

The fourth proportional to 416,631.90, 574,949.16 and 225,640.92 is: 311,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,631.90 : 574,949.16 = 225,640.92 : x
  2. Step 2: Convert to fraction form
    416,631.90/574,949.16 = 225,640.92/x
  3. Step 3: Cross multiply
    416,631.90x = 574,949.16 × 225,640.92
  4. Step 4: Simplify right side
    416,631.90x = 129,732,057,415.63
  5. Step 5: Solve for x
    x = 129,732,057,415.63/416,631.90
  6. Step 6: Final answer
    x = 311,382.92

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Why These Related Problems?

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