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Finding the Fourth Proportional to 442,473.12, 663,712.08 and 110,049.12

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Solution

The fourth proportional to 442,473.12, 663,712.08 and 110,049.12 is: 165,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,473.12 : 663,712.08 = 110,049.12 : x
  2. Step 2: Convert to fraction form
    442,473.12/663,712.08 = 110,049.12/x
  3. Step 3: Cross multiply
    442,473.12x = 663,712.08 × 110,049.12
  4. Step 4: Simplify right side
    442,473.12x = 73,040,930,337.37
  5. Step 5: Solve for x
    x = 73,040,930,337.37/442,473.12
  6. Step 6: Final answer
    x = 165,074.28

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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.