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Finding the Fourth Proportional to 384,641.70, 577,069.20 and 160,107.90

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Solution

The fourth proportional to 384,641.70, 577,069.20 and 160,107.90 is: 240,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,641.70 : 577,069.20 = 160,107.90 : x
  2. Step 2: Convert to fraction form
    384,641.70/577,069.20 = 160,107.90/x
  3. Step 3: Cross multiply
    384,641.70x = 577,069.20 × 160,107.90
  4. Step 4: Simplify right side
    384,641.70x = 92,393,337,766.68
  5. Step 5: Solve for x
    x = 92,393,337,766.68/384,641.70
  6. Step 6: Final answer
    x = 240,206.24

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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.