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Finding the Fourth Proportional to 296,042.40, 408,584.52 and 194,362.86

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Solution

The fourth proportional to 296,042.40, 408,584.52 and 194,362.86 is: 268,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,042.40 : 408,584.52 = 194,362.86 : x
  2. Step 2: Convert to fraction form
    296,042.40/408,584.52 = 194,362.86/x
  3. Step 3: Cross multiply
    296,042.40x = 408,584.52 × 194,362.86
  4. Step 4: Simplify right side
    296,042.40x = 79,413,655,858.93
  5. Step 5: Solve for x
    x = 79,413,655,858.93/296,042.40
  6. Step 6: Final answer
    x = 268,250.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.