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Finding the Fourth Proportional to 376,288.97, 564,452.42 and 106,436.40

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Solution

The fourth proportional to 376,288.97, 564,452.42 and 106,436.40 is: 159,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,288.97 : 564,452.42 = 106,436.40 : x
  2. Step 2: Convert to fraction form
    376,288.97/564,452.42 = 106,436.40/x
  3. Step 3: Cross multiply
    376,288.97x = 564,452.42 × 106,436.40
  4. Step 4: Simplify right side
    376,288.97x = 60,078,286,567.83
  5. Step 5: Solve for x
    x = 60,078,286,567.83/376,288.97
  6. Step 6: Final answer
    x = 159,659.97

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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.