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Finding the Fourth Proportional to 324,414.71, 447,705.11 and 186,593.42

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Solution

The fourth proportional to 324,414.71, 447,705.11 and 186,593.42 is: 257,506.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,414.71 : 447,705.11 = 186,593.42 : x
  2. Step 2: Convert to fraction form
    324,414.71/447,705.11 = 186,593.42/x
  3. Step 3: Cross multiply
    324,414.71x = 447,705.11 × 186,593.42
  4. Step 4: Simplify right side
    324,414.71x = 83,538,827,626.38
  5. Step 5: Solve for x
    x = 83,538,827,626.38/324,414.71
  6. Step 6: Final answer
    x = 257,506.29

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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.