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Finding the Fourth Proportional to 465,696, 698,550.48 and 133,272

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Solution

The fourth proportional to 465,696, 698,550.48 and 133,272 is: 199,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,696 : 698,550.48 = 133,272 : x
  2. Step 2: Convert to fraction form
    465,696/698,550.48 = 133,272/x
  3. Step 3: Cross multiply
    465,696x = 698,550.48 × 133,272
  4. Step 4: Simplify right side
    465,696x = 93,097,219,570.56
  5. Step 5: Solve for x
    x = 93,097,219,570.56/465,696
  6. Step 6: Final answer
    x = 199,909.85

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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.