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Finding the Fourth Proportional to 407,137.97, 610,084.18 and 217,625.33

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Solution

The fourth proportional to 407,137.97, 610,084.18 and 217,625.33 is: 326,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,137.97 : 610,084.18 = 217,625.33 : x
  2. Step 2: Convert to fraction form
    407,137.97/610,084.18 = 217,625.33/x
  3. Step 3: Cross multiply
    407,137.97x = 610,084.18 × 217,625.33
  4. Step 4: Simplify right side
    407,137.97x = 132,769,771,000.28
  5. Step 5: Solve for x
    x = 132,769,771,000.28/407,137.97
  6. Step 6: Final answer
    x = 326,105.11

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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.