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Finding the Fourth Proportional to 691,494, 1,037,416.04 and 192,858

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Solution

The fourth proportional to 691,494, 1,037,416.04 and 192,858 is: 289,335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,494 : 1,037,416.04 = 192,858 : x
  2. Step 2: Convert to fraction form
    691,494/1,037,416.04 = 192,858/x
  3. Step 3: Cross multiply
    691,494x = 1,037,416.04 × 192,858
  4. Step 4: Simplify right side
    691,494x = 200,073,982,642.32
  5. Step 5: Solve for x
    x = 200,073,982,642.32/691,494
  6. Step 6: Final answer
    x = 289,335.82

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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.