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Finding the Fourth Proportional to 432,727.74, 649,153.04 and 133,233.21

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Solution

The fourth proportional to 432,727.74, 649,153.04 and 133,233.21 is: 199,868.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,727.74 : 649,153.04 = 133,233.21 : x
  2. Step 2: Convert to fraction form
    432,727.74/649,153.04 = 133,233.21/x
  3. Step 3: Cross multiply
    432,727.74x = 649,153.04 × 133,233.21
  4. Step 4: Simplify right side
    432,727.74x = 86,488,742,634.29
  5. Step 5: Solve for x
    x = 86,488,742,634.29/432,727.74
  6. Step 6: Final answer
    x = 199,868.73

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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.