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Finding the Fourth Proportional to 451,193.18, 676,764.86 and 151,642.82

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Solution

The fourth proportional to 451,193.18, 676,764.86 and 151,642.82 is: 227,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,193.18 : 676,764.86 = 151,642.82 : x
  2. Step 2: Convert to fraction form
    451,193.18/676,764.86 = 151,642.82/x
  3. Step 3: Cross multiply
    451,193.18x = 676,764.86 × 151,642.82
  4. Step 4: Simplify right side
    451,193.18x = 102,626,532,781.00
  5. Step 5: Solve for x
    x = 102,626,532,781.00/451,193.18
  6. Step 6: Final answer
    x = 227,455.86

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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.