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Finding the Fourth Proportional to 270,705.20, 406,057.80 and 221,497.70

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Solution

The fourth proportional to 270,705.20, 406,057.80 and 221,497.70 is: 332,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,705.20 : 406,057.80 = 221,497.70 : x
  2. Step 2: Convert to fraction form
    270,705.20/406,057.80 = 221,497.70/x
  3. Step 3: Cross multiply
    270,705.20x = 406,057.80 × 221,497.70
  4. Step 4: Simplify right side
    270,705.20x = 89,940,868,767.06
  5. Step 5: Solve for x
    x = 89,940,868,767.06/270,705.20
  6. Step 6: Final answer
    x = 332,246.55

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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.