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Finding the Fourth Proportional to 275,490.86, 413,395.84 and 115,552.58

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Solution

The fourth proportional to 275,490.86, 413,395.84 and 115,552.58 is: 173,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,490.86 : 413,395.84 = 115,552.58 : x
  2. Step 2: Convert to fraction form
    275,490.86/413,395.84 = 115,552.58/x
  3. Step 3: Cross multiply
    275,490.86x = 413,395.84 × 115,552.58
  4. Step 4: Simplify right side
    275,490.86x = 47,768,955,873.27
  5. Step 5: Solve for x
    x = 47,768,955,873.27/275,490.86
  6. Step 6: Final answer
    x = 173,395.79

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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.