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Finding the Fourth Proportional to 299,256.30, 412,917.12 and 178,408.74

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Solution

The fourth proportional to 299,256.30, 412,917.12 and 178,408.74 is: 246,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,256.30 : 412,917.12 = 178,408.74 : x
  2. Step 2: Convert to fraction form
    299,256.30/412,917.12 = 178,408.74/x
  3. Step 3: Cross multiply
    299,256.30x = 412,917.12 × 178,408.74
  4. Step 4: Simplify right side
    299,256.30x = 73,668,023,103.63
  5. Step 5: Solve for x
    x = 73,668,023,103.63/299,256.30
  6. Step 6: Final answer
    x = 246,170.33

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1.5x scale

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.