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Finding the Fourth Proportional to 691,416, 1,037,298.96 and 192,780

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Solution

The fourth proportional to 691,416, 1,037,298.96 and 192,780 is: 289,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,416 : 1,037,298.96 = 192,780 : x
  2. Step 2: Convert to fraction form
    691,416/1,037,298.96 = 192,780/x
  3. Step 3: Cross multiply
    691,416x = 1,037,298.96 × 192,780
  4. Step 4: Simplify right side
    691,416x = 199,970,493,508.80
  5. Step 5: Solve for x
    x = 199,970,493,508.80/691,416
  6. Step 6: Final answer
    x = 289,218.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.