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Finding the Fourth Proportional to 278,407.52, 417,475.20 and 194,208.04

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Solution

The fourth proportional to 278,407.52, 417,475.20 and 194,208.04 is: 291,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,407.52 : 417,475.20 = 194,208.04 : x
  2. Step 2: Convert to fraction form
    278,407.52/417,475.20 = 194,208.04/x
  3. Step 3: Cross multiply
    278,407.52x = 417,475.20 × 194,208.04
  4. Step 4: Simplify right side
    278,407.52x = 81,077,040,340.61
  5. Step 5: Solve for x
    x = 81,077,040,340.61/278,407.52
  6. Step 6: Final answer
    x = 291,217.14

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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.