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Finding the Fourth Proportional to 301,348.13, 415,832.91 and 178,819.39

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Solution

The fourth proportional to 301,348.13, 415,832.91 and 178,819.39 is: 246,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,348.13 : 415,832.91 = 178,819.39 : x
  2. Step 2: Convert to fraction form
    301,348.13/415,832.91 = 178,819.39/x
  3. Step 3: Cross multiply
    301,348.13x = 415,832.91 × 178,819.39
  4. Step 4: Simplify right side
    301,348.13x = 74,358,987,308.12
  5. Step 5: Solve for x
    x = 74,358,987,308.12/301,348.13
  6. Step 6: Final answer
    x = 246,754.43

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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.