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Finding the Fourth Proportional to 296,043.40, 408,585.90 and 194,363.86

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Solution

The fourth proportional to 296,043.40, 408,585.90 and 194,363.86 is: 268,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,043.40 : 408,585.90 = 194,363.86 : x
  2. Step 2: Convert to fraction form
    296,043.40/408,585.90 = 194,363.86/x
  3. Step 3: Cross multiply
    296,043.40x = 408,585.90 × 194,363.86
  4. Step 4: Simplify right side
    296,043.40x = 79,414,332,665.57
  5. Step 5: Solve for x
    x = 79,414,332,665.57/296,043.40
  6. Step 6: Final answer
    x = 268,252.33

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1.5x scale

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.