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Finding the Fourth Proportional to 652,819.11, 978,514.42 and 279,064.23

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Solution

The fourth proportional to 652,819.11, 978,514.42 and 279,064.23 is: 418,291.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,819.11 : 978,514.42 = 279,064.23 : x
  2. Step 2: Convert to fraction form
    652,819.11/978,514.42 = 279,064.23/x
  3. Step 3: Cross multiply
    652,819.11x = 978,514.42 × 279,064.23
  4. Step 4: Simplify right side
    652,819.11x = 273,068,373,161.20
  5. Step 5: Solve for x
    x = 273,068,373,161.20/652,819.11
  6. Step 6: Final answer
    x = 418,291.02

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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.