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Finding the Fourth Proportional to 297,518, 446,277 and 75,902

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Solution

The fourth proportional to 297,518, 446,277 and 75,902 is: 113,853

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,518 : 446,277 = 75,902 : x
  2. Step 2: Convert to fraction form
    297,518/446,277 = 75,902/x
  3. Step 3: Cross multiply
    297,518x = 446,277 × 75,902
  4. Step 4: Simplify right side
    297,518x = 33,873,316,854
  5. Step 5: Solve for x
    x = 33,873,316,854/297,518
  6. Step 6: Final answer
    x = 113,853

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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.