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Finding the Fourth Proportional to 504,719.25, 757,221.89 and 205,414.65

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Solution

The fourth proportional to 504,719.25, 757,221.89 and 205,414.65 is: 308,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,719.25 : 757,221.89 = 205,414.65 : x
  2. Step 2: Convert to fraction form
    504,719.25/757,221.89 = 205,414.65/x
  3. Step 3: Cross multiply
    504,719.25x = 757,221.89 × 205,414.65
  4. Step 4: Simplify right side
    504,719.25x = 155,544,468,479.62
  5. Step 5: Solve for x
    x = 155,544,468,479.62/504,719.25
  6. Step 6: Final answer
    x = 308,180.18

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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.