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Finding the Fourth Proportional to 432,717.38, 649,103.75 and 166,477.92

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Solution

The fourth proportional to 432,717.38, 649,103.75 and 166,477.92 is: 249,727.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,717.38 : 649,103.75 = 166,477.92 : x
  2. Step 2: Convert to fraction form
    432,717.38/649,103.75 = 166,477.92/x
  3. Step 3: Cross multiply
    432,717.38x = 649,103.75 × 166,477.92
  4. Step 4: Simplify right side
    432,717.38x = 108,061,441,331.81
  5. Step 5: Solve for x
    x = 108,061,441,331.81/432,717.38
  6. Step 6: Final answer
    x = 249,727.53

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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.