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Finding the Fourth Proportional to 514,221.92, 771,037.54 and 274,040.12

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Solution

The fourth proportional to 514,221.92, 771,037.54 and 274,040.12 is: 410,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,221.92 : 771,037.54 = 274,040.12 : x
  2. Step 2: Convert to fraction form
    514,221.92/771,037.54 = 274,040.12/x
  3. Step 3: Cross multiply
    514,221.92x = 771,037.54 × 274,040.12
  4. Step 4: Simplify right side
    514,221.92x = 211,295,219,986.11
  5. Step 5: Solve for x
    x = 211,295,219,986.11/514,221.92
  6. Step 6: Final answer
    x = 410,902.79

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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.