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Finding the Fourth Proportional to 264,463.56, 396,754.02 and 86,963.40

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Solution

The fourth proportional to 264,463.56, 396,754.02 and 86,963.40 is: 130,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,463.56 : 396,754.02 = 86,963.40 : x
  2. Step 2: Convert to fraction form
    264,463.56/396,754.02 = 86,963.40/x
  3. Step 3: Cross multiply
    264,463.56x = 396,754.02 × 86,963.40
  4. Step 4: Simplify right side
    264,463.56x = 34,503,078,542.87
  5. Step 5: Solve for x
    x = 34,503,078,542.87/264,463.56
  6. Step 6: Final answer
    x = 130,464.40

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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.