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Finding the Fourth Proportional to 416,246.69, 574,418.31 and 225,260.12

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Solution

The fourth proportional to 416,246.69, 574,418.31 and 225,260.12 is: 310,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,246.69 : 574,418.31 = 225,260.12 : x
  2. Step 2: Convert to fraction form
    416,246.69/574,418.31 = 225,260.12/x
  3. Step 3: Cross multiply
    416,246.69x = 574,418.31 × 225,260.12
  4. Step 4: Simplify right side
    416,246.69x = 129,393,537,440.80
  5. Step 5: Solve for x
    x = 129,393,537,440.80/416,246.69
  6. Step 6: Final answer
    x = 310,857.82

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1.5x scale

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.