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Finding the Fourth Proportional to 416,867.80, 575,278.08 and 225,881.16

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Solution

The fourth proportional to 416,867.80, 575,278.08 and 225,881.16 is: 311,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,867.80 : 575,278.08 = 225,881.16 : x
  2. Step 2: Convert to fraction form
    416,867.80/575,278.08 = 225,881.16/x
  3. Step 3: Cross multiply
    416,867.80x = 575,278.08 × 225,881.16
  4. Step 4: Simplify right side
    416,867.80x = 129,944,480,032.97
  5. Step 5: Solve for x
    x = 129,944,480,032.97/416,867.80
  6. Step 6: Final answer
    x = 311,716.28

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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.