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Finding the Fourth Proportional to 275,889.78, 413,488.40 and 117,932.49

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Solution

The fourth proportional to 275,889.78, 413,488.40 and 117,932.49 is: 176,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,889.78 : 413,488.40 = 117,932.49 : x
  2. Step 2: Convert to fraction form
    275,889.78/413,488.40 = 117,932.49/x
  3. Step 3: Cross multiply
    275,889.78x = 413,488.40 × 117,932.49
  4. Step 4: Simplify right side
    275,889.78x = 48,763,716,008.45
  5. Step 5: Solve for x
    x = 48,763,716,008.45/275,889.78
  6. Step 6: Final answer
    x = 176,750.72

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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.