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Finding the Fourth Proportional to 275,593.72, 413,433.90 and 117,823

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Solution

The fourth proportional to 275,593.72, 413,433.90 and 117,823 is: 176,753.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,593.72 : 413,433.90 = 117,823 : x
  2. Step 2: Convert to fraction form
    275,593.72/413,433.90 = 117,823/x
  3. Step 3: Cross multiply
    275,593.72x = 413,433.90 × 117,823
  4. Step 4: Simplify right side
    275,593.72x = 48,712,022,399.70
  5. Step 5: Solve for x
    x = 48,712,022,399.70/275,593.72
  6. Step 6: Final answer
    x = 176,753.02

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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.