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Finding the Fourth Proportional to 416,633.76, 625,054.32 and 121,145.76

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Solution

The fourth proportional to 416,633.76, 625,054.32 and 121,145.76 is: 181,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,633.76 : 625,054.32 = 121,145.76 : x
  2. Step 2: Convert to fraction form
    416,633.76/625,054.32 = 121,145.76/x
  3. Step 3: Cross multiply
    416,633.76x = 625,054.32 × 121,145.76
  4. Step 4: Simplify right side
    416,633.76x = 75,722,680,637.68
  5. Step 5: Solve for x
    x = 75,722,680,637.68/416,633.76
  6. Step 6: Final answer
    x = 181,748.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.