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Finding the Fourth Proportional to 278,408.52, 417,476.70 and 194,209.04

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Solution

The fourth proportional to 278,408.52, 417,476.70 and 194,209.04 is: 291,218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,408.52 : 417,476.70 = 194,209.04 : x
  2. Step 2: Convert to fraction form
    278,408.52/417,476.70 = 194,209.04/x
  3. Step 3: Cross multiply
    278,408.52x = 417,476.70 × 194,209.04
  4. Step 4: Simplify right side
    278,408.52x = 81,077,749,129.37
  5. Step 5: Solve for x
    x = 81,077,749,129.37/278,408.52
  6. Step 6: Final answer
    x = 291,218.63

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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.