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Finding the Fourth Proportional to 465,838.76, 698,550.27 and 324,591.56

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Solution

The fourth proportional to 465,838.76, 698,550.27 and 324,591.56 is: 486,742.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,838.76 : 698,550.27 = 324,591.56 : x
  2. Step 2: Convert to fraction form
    465,838.76/698,550.27 = 324,591.56/x
  3. Step 3: Cross multiply
    465,838.76x = 698,550.27 × 324,591.56
  4. Step 4: Simplify right side
    465,838.76x = 226,743,521,877.72
  5. Step 5: Solve for x
    x = 226,743,521,877.72/465,838.76
  6. Step 6: Final answer
    x = 486,742.50

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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.