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Finding the Fourth Proportional to 275,403.60, 413,348.40 and 162,943.20

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Solution

The fourth proportional to 275,403.60, 413,348.40 and 162,943.20 is: 244,558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,403.60 : 413,348.40 = 162,943.20 : x
  2. Step 2: Convert to fraction form
    275,403.60/413,348.40 = 162,943.20/x
  3. Step 3: Cross multiply
    275,403.60x = 413,348.40 × 162,943.20
  4. Step 4: Simplify right side
    275,403.60x = 67,352,311,010.88
  5. Step 5: Solve for x
    x = 67,352,311,010.88/275,403.60
  6. Step 6: Final answer
    x = 244,558.57

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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.