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Finding the Fourth Proportional to 384,193.80, 576,377.10 and 117,966.60

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Solution

The fourth proportional to 384,193.80, 576,377.10 and 117,966.60 is: 176,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,193.80 : 576,377.10 = 117,966.60 : x
  2. Step 2: Convert to fraction form
    384,193.80/576,377.10 = 117,966.60/x
  3. Step 3: Cross multiply
    384,193.80x = 576,377.10 × 117,966.60
  4. Step 4: Simplify right side
    384,193.80x = 67,993,246,804.86
  5. Step 5: Solve for x
    x = 67,993,246,804.86/384,193.80
  6. Step 6: Final answer
    x = 176,976.43

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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.