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Finding the Fourth Proportional to 341,115.54, 511,791.30 and 116,634.00

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Solution

The fourth proportional to 341,115.54, 511,791.30 and 116,634.00 is: 174,991.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,115.54 : 511,791.30 = 116,634.00 : x
  2. Step 2: Convert to fraction form
    341,115.54/511,791.30 = 116,634.00/x
  3. Step 3: Cross multiply
    341,115.54x = 511,791.30 × 116,634.00
  4. Step 4: Simplify right side
    341,115.54x = 59,692,266,799.99
  5. Step 5: Solve for x
    x = 59,692,266,799.99/341,115.54
  6. Step 6: Final answer
    x = 174,991.34

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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.