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Finding the Fourth Proportional to 462,193.68, 693,152.76 and 195,949.92

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Solution

The fourth proportional to 462,193.68, 693,152.76 and 195,949.92 is: 293,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,193.68 : 693,152.76 = 195,949.92 : x
  2. Step 2: Convert to fraction form
    462,193.68/693,152.76 = 195,949.92/x
  3. Step 3: Cross multiply
    462,193.68x = 693,152.76 × 195,949.92
  4. Step 4: Simplify right side
    462,193.68x = 135,823,227,869.78
  5. Step 5: Solve for x
    x = 135,823,227,869.78/462,193.68
  6. Step 6: Final answer
    x = 293,866.48

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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.