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Finding the Fourth Proportional to 414,041.60, 571,211.52 and 261,029.44

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Solution

The fourth proportional to 414,041.60, 571,211.52 and 261,029.44 is: 360,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,041.60 : 571,211.52 = 261,029.44 : x
  2. Step 2: Convert to fraction form
    414,041.60/571,211.52 = 261,029.44/x
  3. Step 3: Cross multiply
    414,041.60x = 571,211.52 × 261,029.44
  4. Step 4: Simplify right side
    414,041.60x = 149,103,023,187.15
  5. Step 5: Solve for x
    x = 149,103,023,187.15/414,041.60
  6. Step 6: Final answer
    x = 360,116.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.