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Finding the Fourth Proportional to 320,414.52, 480,694.66 and 170,575.86

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Solution

The fourth proportional to 320,414.52, 480,694.66 and 170,575.86 is: 255,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,414.52 : 480,694.66 = 170,575.86 : x
  2. Step 2: Convert to fraction form
    320,414.52/480,694.66 = 170,575.86/x
  3. Step 3: Cross multiply
    320,414.52x = 480,694.66 × 170,575.86
  4. Step 4: Simplify right side
    320,414.52x = 81,994,905,026.91
  5. Step 5: Solve for x
    x = 81,994,905,026.91/320,414.52
  6. Step 6: Final answer
    x = 255,902.59

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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.