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Finding the Fourth Proportional to 465,521.88, 698,289.30 and 133,097.88

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Solution

The fourth proportional to 465,521.88, 698,289.30 and 133,097.88 is: 199,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,521.88 : 698,289.30 = 133,097.88 : x
  2. Step 2: Convert to fraction form
    465,521.88/698,289.30 = 133,097.88/x
  3. Step 3: Cross multiply
    465,521.88x = 698,289.30 × 133,097.88
  4. Step 4: Simplify right side
    465,521.88x = 92,940,825,456.68
  5. Step 5: Solve for x
    x = 92,940,825,456.68/465,521.88
  6. Step 6: Final answer
    x = 199,648.67

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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.