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Finding the Fourth Proportional to 514,305.56, 771,162.78 and 274,123.64

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Solution

The fourth proportional to 514,305.56, 771,162.78 and 274,123.64 is: 411,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,305.56 : 771,162.78 = 274,123.64 : x
  2. Step 2: Convert to fraction form
    514,305.56/771,162.78 = 274,123.64/x
  3. Step 3: Cross multiply
    514,305.56x = 771,162.78 × 274,123.64
  4. Step 4: Simplify right side
    514,305.56x = 211,393,948,286.12
  5. Step 5: Solve for x
    x = 211,393,948,286.12/514,305.56
  6. Step 6: Final answer
    x = 411,027.93

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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.