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Finding the Fourth Proportional to 297,332.35, 410,659.19 and 195,811.61

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Solution

The fourth proportional to 297,332.35, 410,659.19 and 195,811.61 is: 270,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,332.35 : 410,659.19 = 195,811.61 : x
  2. Step 2: Convert to fraction form
    297,332.35/410,659.19 = 195,811.61/x
  3. Step 3: Cross multiply
    297,332.35x = 410,659.19 × 195,811.61
  4. Step 4: Simplify right side
    297,332.35x = 80,411,835,591.43
  5. Step 5: Solve for x
    x = 80,411,835,591.43/297,332.35
  6. Step 6: Final answer
    x = 270,444.29

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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.