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Finding the Fourth Proportional to 275,827.80, 413,447.40 and 157,243.80

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Solution

The fourth proportional to 275,827.80, 413,447.40 and 157,243.80 is: 235,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,827.80 : 413,447.40 = 157,243.80 : x
  2. Step 2: Convert to fraction form
    275,827.80/413,447.40 = 157,243.80/x
  3. Step 3: Cross multiply
    275,827.80x = 413,447.40 × 157,243.80
  4. Step 4: Simplify right side
    275,827.80x = 65,012,040,276.12
  5. Step 5: Solve for x
    x = 65,012,040,276.12/275,827.80
  6. Step 6: Final answer
    x = 235,697.93

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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.