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Finding the Fourth Proportional to 416,713.61, 575,067.55 and 225,727.00

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Solution

The fourth proportional to 416,713.61, 575,067.55 and 225,727.00 is: 311,504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,713.61 : 575,067.55 = 225,727.00 : x
  2. Step 2: Convert to fraction form
    416,713.61/575,067.55 = 225,727.00/x
  3. Step 3: Cross multiply
    416,713.61x = 575,067.55 × 225,727.00
  4. Step 4: Simplify right side
    416,713.61x = 129,808,272,590.13
  5. Step 5: Solve for x
    x = 129,808,272,590.13/416,713.61
  6. Step 6: Final answer
    x = 311,504.76

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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.