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Finding the Fourth Proportional to 416,865.80, 575,275.32 and 225,879.16

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Solution

The fourth proportional to 416,865.80, 575,275.32 and 225,879.16 is: 311,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,865.80 : 575,275.32 = 225,879.16 : x
  2. Step 2: Convert to fraction form
    416,865.80/575,275.32 = 225,879.16/x
  3. Step 3: Cross multiply
    416,865.80x = 575,275.32 × 225,879.16
  4. Step 4: Simplify right side
    416,865.80x = 129,942,706,050.33
  5. Step 5: Solve for x
    x = 129,942,706,050.33/416,865.80
  6. Step 6: Final answer
    x = 311,713.52

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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.