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Finding the Fourth Proportional to 416,411.87, 574,648.56 and 225,425.25

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Solution

The fourth proportional to 416,411.87, 574,648.56 and 225,425.25 is: 311,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,411.87 : 574,648.56 = 225,425.25 : x
  2. Step 2: Convert to fraction form
    416,411.87/574,648.56 = 225,425.25/x
  3. Step 3: Cross multiply
    416,411.87x = 574,648.56 × 225,425.25
  4. Step 4: Simplify right side
    416,411.87x = 129,540,295,300.14
  5. Step 5: Solve for x
    x = 129,540,295,300.14/416,411.87
  6. Step 6: Final answer
    x = 311,086.94

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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.