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Finding the Fourth Proportional to 297,711.72, 446,305.14 and 110,592

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Solution

The fourth proportional to 297,711.72, 446,305.14 and 110,592 is: 165,790.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,711.72 : 446,305.14 = 110,592 : x
  2. Step 2: Convert to fraction form
    297,711.72/446,305.14 = 110,592/x
  3. Step 3: Cross multiply
    297,711.72x = 446,305.14 × 110,592
  4. Step 4: Simplify right side
    297,711.72x = 49,357,778,042.88
  5. Step 5: Solve for x
    x = 49,357,778,042.88/297,711.72
  6. Step 6: Final answer
    x = 165,790.51

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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.