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Finding the Fourth Proportional to 384,426.39, 576,423.62 and 159,635.60

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Solution

The fourth proportional to 384,426.39, 576,423.62 and 159,635.60 is: 239,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,426.39 : 576,423.62 = 159,635.60 : x
  2. Step 2: Convert to fraction form
    384,426.39/576,423.62 = 159,635.60/x
  3. Step 3: Cross multiply
    384,426.39x = 576,423.62 × 159,635.60
  4. Step 4: Simplify right side
    384,426.39x = 92,017,730,432.87
  5. Step 5: Solve for x
    x = 92,017,730,432.87/384,426.39
  6. Step 6: Final answer
    x = 239,363.72

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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.