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Finding the Fourth Proportional to 432,956.91, 649,496.52 and 133,461.84

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Solution

The fourth proportional to 432,956.91, 649,496.52 and 133,461.84 is: 200,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,956.91 : 649,496.52 = 133,461.84 : x
  2. Step 2: Convert to fraction form
    432,956.91/649,496.52 = 133,461.84/x
  3. Step 3: Cross multiply
    432,956.91x = 649,496.52 × 133,461.84
  4. Step 4: Simplify right side
    432,956.91x = 86,683,000,632.80
  5. Step 5: Solve for x
    x = 86,683,000,632.80/432,956.91
  6. Step 6: Final answer
    x = 200,211.61

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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.