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Finding the Fourth Proportional to 432,144.81, 648,217.20 and 116,601.71

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Solution

The fourth proportional to 432,144.81, 648,217.20 and 116,601.71 is: 174,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,144.81 : 648,217.20 = 116,601.71 : x
  2. Step 2: Convert to fraction form
    432,144.81/648,217.20 = 116,601.71/x
  3. Step 3: Cross multiply
    432,144.81x = 648,217.20 × 116,601.71
  4. Step 4: Simplify right side
    432,144.81x = 75,583,230,730.33
  5. Step 5: Solve for x
    x = 75,583,230,730.33/432,144.81
  6. Step 6: Final answer
    x = 174,902.55

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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.