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Finding the Fourth Proportional to 264,617.28, 396,932.40 and 77,628.24

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Solution

The fourth proportional to 264,617.28, 396,932.40 and 77,628.24 is: 116,444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,617.28 : 396,932.40 = 77,628.24 : x
  2. Step 2: Convert to fraction form
    264,617.28/396,932.40 = 77,628.24/x
  3. Step 3: Cross multiply
    264,617.28x = 396,932.40 × 77,628.24
  4. Step 4: Simplify right side
    264,617.28x = 30,813,163,610.98
  5. Step 5: Solve for x
    x = 30,813,163,610.98/264,617.28
  6. Step 6: Final answer
    x = 116,444.26

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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.