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Finding the Fourth Proportional to 275,333.72, 413,043.78 and 117,563

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Solution

The fourth proportional to 275,333.72, 413,043.78 and 117,563 is: 176,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,333.72 : 413,043.78 = 117,563 : x
  2. Step 2: Convert to fraction form
    275,333.72/413,043.78 = 117,563/x
  3. Step 3: Cross multiply
    275,333.72x = 413,043.78 × 117,563
  4. Step 4: Simplify right side
    275,333.72x = 48,558,665,908.14
  5. Step 5: Solve for x
    x = 48,558,665,908.14/275,333.72
  6. Step 6: Final answer
    x = 176,362.95

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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.