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Finding the Fourth Proportional to 944,917, 1,417,375.50 and 280,069

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Solution

The fourth proportional to 944,917, 1,417,375.50 and 280,069 is: 420,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,917 : 1,417,375.50 = 280,069 : x
  2. Step 2: Convert to fraction form
    944,917/1,417,375.50 = 280,069/x
  3. Step 3: Cross multiply
    944,917x = 1,417,375.50 × 280,069
  4. Step 4: Simplify right side
    944,917x = 396,962,938,909.50
  5. Step 5: Solve for x
    x = 396,962,938,909.50/944,917
  6. Step 6: Final answer
    x = 420,103.50

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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.