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Finding the Fourth Proportional to 384,276.85, 576,436.30 and 159,660

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Solution

The fourth proportional to 384,276.85, 576,436.30 and 159,660 is: 239,498.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,276.85 : 576,436.30 = 159,660 : x
  2. Step 2: Convert to fraction form
    384,276.85/576,436.30 = 159,660/x
  3. Step 3: Cross multiply
    384,276.85x = 576,436.30 × 159,660
  4. Step 4: Simplify right side
    384,276.85x = 92,033,819,658
  5. Step 5: Solve for x
    x = 92,033,819,658/384,276.85
  6. Step 6: Final answer
    x = 239,498.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.