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Finding the Fourth Proportional to 416,874.74, 575,289.14 and 225,888.48

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Solution

The fourth proportional to 416,874.74, 575,289.14 and 225,888.48 is: 311,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,874.74 : 575,289.14 = 225,888.48 : x
  2. Step 2: Convert to fraction form
    416,874.74/575,289.14 = 225,888.48/x
  3. Step 3: Cross multiply
    416,874.74x = 575,289.14 × 225,888.48
  4. Step 4: Simplify right side
    416,874.74x = 129,951,188,265.67
  5. Step 5: Solve for x
    x = 129,951,188,265.67/416,874.74
  6. Step 6: Final answer
    x = 311,727.19

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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.