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Finding the Fourth Proportional to 414,101.10, 621,151.65 and 366,861.90

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Solution

The fourth proportional to 414,101.10, 621,151.65 and 366,861.90 is: 550,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,101.10 : 621,151.65 = 366,861.90 : x
  2. Step 2: Convert to fraction form
    414,101.10/621,151.65 = 366,861.90/x
  3. Step 3: Cross multiply
    414,101.10x = 621,151.65 × 366,861.90
  4. Step 4: Simplify right side
    414,101.10x = 227,876,874,507.14
  5. Step 5: Solve for x
    x = 227,876,874,507.14/414,101.10
  6. Step 6: Final answer
    x = 550,292.85

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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.