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Finding the Fourth Proportional to 384,341.44, 576,200.52 and 159,869.80

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Solution

The fourth proportional to 384,341.44, 576,200.52 and 159,869.80 is: 239,675.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,341.44 : 576,200.52 = 159,869.80 : x
  2. Step 2: Convert to fraction form
    384,341.44/576,200.52 = 159,869.80/x
  3. Step 3: Cross multiply
    384,341.44x = 576,200.52 × 159,869.80
  4. Step 4: Simplify right side
    384,341.44x = 92,117,061,892.30
  5. Step 5: Solve for x
    x = 92,117,061,892.30/384,341.44
  6. Step 6: Final answer
    x = 239,675.07

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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.