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Finding the Fourth Proportional to 407,131.50, 610,074.47 and 217,618.83

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Solution

The fourth proportional to 407,131.50, 610,074.47 and 217,618.83 is: 326,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,131.50 : 610,074.47 = 217,618.83 : x
  2. Step 2: Convert to fraction form
    407,131.50/610,074.47 = 217,618.83/x
  3. Step 3: Cross multiply
    407,131.50x = 610,074.47 × 217,618.83
  4. Step 4: Simplify right side
    407,131.50x = 132,763,691,286.18
  5. Step 5: Solve for x
    x = 132,763,691,286.18/407,131.50
  6. Step 6: Final answer
    x = 326,095.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.