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Finding the Fourth Proportional to 492,086.94, 737,834.76 and 192,215.22

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Solution

The fourth proportional to 492,086.94, 737,834.76 and 192,215.22 is: 288,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,086.94 : 737,834.76 = 192,215.22 : x
  2. Step 2: Convert to fraction form
    492,086.94/737,834.76 = 192,215.22/x
  3. Step 3: Cross multiply
    492,086.94x = 737,834.76 × 192,215.22
  4. Step 4: Simplify right side
    492,086.94x = 141,823,070,717.05
  5. Step 5: Solve for x
    x = 141,823,070,717.05/492,086.94
  6. Step 6: Final answer
    x = 288,207.35

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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.