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Finding the Fourth Proportional to 416,870.12, 625,493.82 and 164,081

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Solution

The fourth proportional to 416,870.12, 625,493.82 and 164,081 is: 246,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,870.12 : 625,493.82 = 164,081 : x
  2. Step 2: Convert to fraction form
    416,870.12/625,493.82 = 164,081/x
  3. Step 3: Cross multiply
    416,870.12x = 625,493.82 × 164,081
  4. Step 4: Simplify right side
    416,870.12x = 102,631,651,479.42
  5. Step 5: Solve for x
    x = 102,631,651,479.42/416,870.12
  6. Step 6: Final answer
    x = 246,195.75

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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.