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Finding the Fourth Proportional to 384,308.66, 576,512.18 and 147,620.58

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Solution

The fourth proportional to 384,308.66, 576,512.18 and 147,620.58 is: 221,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,308.66 : 576,512.18 = 147,620.58 : x
  2. Step 2: Convert to fraction form
    384,308.66/576,512.18 = 147,620.58/x
  3. Step 3: Cross multiply
    384,308.66x = 576,512.18 × 147,620.58
  4. Step 4: Simplify right side
    384,308.66x = 85,105,061,650.56
  5. Step 5: Solve for x
    x = 85,105,061,650.56/384,308.66
  6. Step 6: Final answer
    x = 221,449.77

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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.