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Finding the Fourth Proportional to 451,140.76, 676,658.45 and 181,258.02

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Solution

The fourth proportional to 451,140.76, 676,658.45 and 181,258.02 is: 271,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,140.76 : 676,658.45 = 181,258.02 : x
  2. Step 2: Convert to fraction form
    451,140.76/676,658.45 = 181,258.02/x
  3. Step 3: Cross multiply
    451,140.76x = 676,658.45 × 181,258.02
  4. Step 4: Simplify right side
    451,140.76x = 122,649,770,863.27
  5. Step 5: Solve for x
    x = 122,649,770,863.27/451,140.76
  6. Step 6: Final answer
    x = 271,865.86

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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.