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Finding the Fourth Proportional to 416,282.04, 574,470.90 and 225,295.38

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Solution

The fourth proportional to 416,282.04, 574,470.90 and 225,295.38 is: 310,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,282.04 : 574,470.90 = 225,295.38 : x
  2. Step 2: Convert to fraction form
    416,282.04/574,470.90 = 225,295.38/x
  3. Step 3: Cross multiply
    416,282.04x = 574,470.90 × 225,295.38
  4. Step 4: Simplify right side
    416,282.04x = 129,425,639,714.44
  5. Step 5: Solve for x
    x = 129,425,639,714.44/416,282.04
  6. Step 6: Final answer
    x = 310,908.54

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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.