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Finding the Fourth Proportional to 652,404.24, 978,371.57 and 225,824.16

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Solution

The fourth proportional to 652,404.24, 978,371.57 and 225,824.16 is: 338,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,404.24 : 978,371.57 = 225,824.16 : x
  2. Step 2: Convert to fraction form
    652,404.24/978,371.57 = 225,824.16/x
  3. Step 3: Cross multiply
    652,404.24x = 978,371.57 × 225,824.16
  4. Step 4: Simplify right side
    652,404.24x = 220,939,936,834.01
  5. Step 5: Solve for x
    x = 220,939,936,834.01/652,404.24
  6. Step 6: Final answer
    x = 338,654.97

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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.