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Finding the Fourth Proportional to 416,854.43, 575,261.22 and 225,867.83

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Solution

The fourth proportional to 416,854.43, 575,261.22 and 225,867.83 is: 311,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,854.43 : 575,261.22 = 225,867.83 : x
  2. Step 2: Convert to fraction form
    416,854.43/575,261.22 = 225,867.83/x
  3. Step 3: Cross multiply
    416,854.43x = 575,261.22 × 225,867.83
  4. Step 4: Simplify right side
    416,854.43x = 129,933,003,444.55
  5. Step 5: Solve for x
    x = 129,933,003,444.55/416,854.43
  6. Step 6: Final answer
    x = 311,698.75

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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.