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Finding the Fourth Proportional to 416,713.33, 575,067.16 and 225,726.72

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Solution

The fourth proportional to 416,713.33, 575,067.16 and 225,726.72 is: 311,504.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,713.33 : 575,067.16 = 225,726.72 : x
  2. Step 2: Convert to fraction form
    416,713.33/575,067.16 = 225,726.72/x
  3. Step 3: Cross multiply
    416,713.33x = 575,067.16 × 225,726.72
  4. Step 4: Simplify right side
    416,713.33x = 129,808,023,242.20
  5. Step 5: Solve for x
    x = 129,808,023,242.20/416,713.33
  6. Step 6: Final answer
    x = 311,504.37

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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.