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Finding the Fourth Proportional to 432,862.98, 649,305.54 and 205,105.14

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Solution

The fourth proportional to 432,862.98, 649,305.54 and 205,105.14 is: 307,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,862.98 : 649,305.54 = 205,105.14 : x
  2. Step 2: Convert to fraction form
    432,862.98/649,305.54 = 205,105.14/x
  3. Step 3: Cross multiply
    432,862.98x = 649,305.54 × 205,105.14
  4. Step 4: Simplify right side
    432,862.98x = 133,175,903,684.48
  5. Step 5: Solve for x
    x = 133,175,903,684.48/432,862.98
  6. Step 6: Final answer
    x = 307,662.96

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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.