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Finding the Fourth Proportional to 278,327.73, 417,713 and 100,885.35

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Solution

The fourth proportional to 278,327.73, 417,713 and 100,885.35 is: 151,408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,327.73 : 417,713 = 100,885.35 : x
  2. Step 2: Convert to fraction form
    278,327.73/417,713 = 100,885.35/x
  3. Step 3: Cross multiply
    278,327.73x = 417,713 × 100,885.35
  4. Step 4: Simplify right side
    278,327.73x = 42,141,122,204.55
  5. Step 5: Solve for x
    x = 42,141,122,204.55/278,327.73
  6. Step 6: Final answer
    x = 151,408.28

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1.5x scale

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.