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Finding the Fourth Proportional to 297,713.72, 446,308.14 and 110,594

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Solution

The fourth proportional to 297,713.72, 446,308.14 and 110,594 is: 165,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,713.72 : 446,308.14 = 110,594 : x
  2. Step 2: Convert to fraction form
    297,713.72/446,308.14 = 110,594/x
  3. Step 3: Cross multiply
    297,713.72x = 446,308.14 × 110,594
  4. Step 4: Simplify right side
    297,713.72x = 49,359,002,435.16
  5. Step 5: Solve for x
    x = 49,359,002,435.16/297,713.72
  6. Step 6: Final answer
    x = 165,793.51

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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.