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Finding the Fourth Proportional to 275,360.82, 413,084.96 and 117,590.64

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Solution

The fourth proportional to 275,360.82, 413,084.96 and 117,590.64 is: 176,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,360.82 : 413,084.96 = 117,590.64 : x
  2. Step 2: Convert to fraction form
    275,360.82/413,084.96 = 117,590.64/x
  3. Step 3: Cross multiply
    275,360.82x = 413,084.96 × 117,590.64
  4. Step 4: Simplify right side
    275,360.82x = 48,574,923,786.16
  5. Step 5: Solve for x
    x = 48,574,923,786.16/275,360.82
  6. Step 6: Final answer
    x = 176,404.63

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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.