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Finding the Fourth Proportional to 383,901.71, 576,205.97 and 194,493.83

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Solution

The fourth proportional to 383,901.71, 576,205.97 and 194,493.83 is: 291,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,901.71 : 576,205.97 = 194,493.83 : x
  2. Step 2: Convert to fraction form
    383,901.71/576,205.97 = 194,493.83/x
  3. Step 3: Cross multiply
    383,901.71x = 576,205.97 × 194,493.83
  4. Step 4: Simplify right side
    383,901.71x = 112,068,506,442.21
  5. Step 5: Solve for x
    x = 112,068,506,442.21/383,901.71
  6. Step 6: Final answer
    x = 291,919.79

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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.