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Finding the Fourth Proportional to 652,057.29, 978,074.26 and 267,722.69

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Solution

The fourth proportional to 652,057.29, 978,074.26 and 267,722.69 is: 401,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,057.29 : 978,074.26 = 267,722.69 : x
  2. Step 2: Convert to fraction form
    652,057.29/978,074.26 = 267,722.69/x
  3. Step 3: Cross multiply
    652,057.29x = 978,074.26 × 267,722.69
  4. Step 4: Simplify right side
    652,057.29x = 261,852,670,568.35
  5. Step 5: Solve for x
    x = 261,852,670,568.35/652,057.29
  6. Step 6: Final answer
    x = 401,579.24

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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.