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Finding the Fourth Proportional to 451,472.74, 677,298.11 and 167,165.78

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Solution

The fourth proportional to 451,472.74, 677,298.11 and 167,165.78 is: 250,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,472.74 : 677,298.11 = 167,165.78 : x
  2. Step 2: Convert to fraction form
    451,472.74/677,298.11 = 167,165.78/x
  3. Step 3: Cross multiply
    451,472.74x = 677,298.11 × 167,165.78
  4. Step 4: Simplify right side
    451,472.74x = 113,221,062,628.36
  5. Step 5: Solve for x
    x = 113,221,062,628.36/451,472.74
  6. Step 6: Final answer
    x = 250,781.62

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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.