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Finding the Fourth Proportional to 276,167.98, 414,457.31 and 205,255.72

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Solution

The fourth proportional to 276,167.98, 414,457.31 and 205,255.72 is: 308,036.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,167.98 : 414,457.31 = 205,255.72 : x
  2. Step 2: Convert to fraction form
    276,167.98/414,457.31 = 205,255.72/x
  3. Step 3: Cross multiply
    276,167.98x = 414,457.31 × 205,255.72
  4. Step 4: Simplify right side
    276,167.98x = 85,069,733,449.96
  5. Step 5: Solve for x
    x = 85,069,733,449.96/276,167.98
  6. Step 6: Final answer
    x = 308,036.19

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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.