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Finding the Fourth Proportional to 416,514.97, 574,791.07 and 225,527.90

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Solution

The fourth proportional to 416,514.97, 574,791.07 and 225,527.90 is: 311,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,514.97 : 574,791.07 = 225,527.90 : x
  2. Step 2: Convert to fraction form
    416,514.97/574,791.07 = 225,527.90/x
  3. Step 3: Cross multiply
    416,514.97x = 574,791.07 × 225,527.90
  4. Step 4: Simplify right side
    416,514.97x = 129,631,422,955.85
  5. Step 5: Solve for x
    x = 129,631,422,955.85/416,514.97
  6. Step 6: Final answer
    x = 311,228.72

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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.