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Finding the Fourth Proportional to 275,447.25, 413,345.66 and 117,676.89

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Solution

The fourth proportional to 275,447.25, 413,345.66 and 117,676.89 is: 176,590.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,447.25 : 413,345.66 = 117,676.89 : x
  2. Step 2: Convert to fraction form
    275,447.25/413,345.66 = 117,676.89/x
  3. Step 3: Cross multiply
    275,447.25x = 413,345.66 × 117,676.89
  4. Step 4: Simplify right side
    275,447.25x = 48,641,231,175.41
  5. Step 5: Solve for x
    x = 48,641,231,175.41/275,447.25
  6. Step 6: Final answer
    x = 176,590.00

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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.