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Finding the Fourth Proportional to 492,348.96, 738,227.68 and 192,472.36

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Solution

The fourth proportional to 492,348.96, 738,227.68 and 192,472.36 is: 288,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,348.96 : 738,227.68 = 192,472.36 : x
  2. Step 2: Convert to fraction form
    492,348.96/738,227.68 = 192,472.36/x
  3. Step 3: Cross multiply
    492,348.96x = 738,227.68 × 192,472.36
  4. Step 4: Simplify right side
    492,348.96x = 142,088,423,786.93
  5. Step 5: Solve for x
    x = 142,088,423,786.93/492,348.96
  6. Step 6: Final answer
    x = 288,592.92

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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.