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Finding the Fourth Proportional to 407,081.64, 610,677.99 and 140,770.62

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Solution

The fourth proportional to 407,081.64, 610,677.99 and 140,770.62 is: 211,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,081.64 : 610,677.99 = 140,770.62 : x
  2. Step 2: Convert to fraction form
    407,081.64/610,677.99 = 140,770.62/x
  3. Step 3: Cross multiply
    407,081.64x = 610,677.99 × 140,770.62
  4. Step 4: Simplify right side
    407,081.64x = 85,965,519,272.65
  5. Step 5: Solve for x
    x = 85,965,519,272.65/407,081.64
  6. Step 6: Final answer
    x = 211,175.13

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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.