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Finding the Fourth Proportional to 442,443.72, 663,668.22 and 110,019.72

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Solution

The fourth proportional to 442,443.72, 663,668.22 and 110,019.72 is: 165,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,443.72 : 663,668.22 = 110,019.72 : x
  2. Step 2: Convert to fraction form
    442,443.72/663,668.22 = 110,019.72/x
  3. Step 3: Cross multiply
    442,443.72x = 663,668.22 × 110,019.72
  4. Step 4: Simplify right side
    442,443.72x = 73,016,591,737.30
  5. Step 5: Solve for x
    x = 73,016,591,737.30/442,443.72
  6. Step 6: Final answer
    x = 165,030.24

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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.