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Finding the Fourth Proportional to 340,959.84, 511,329.10 and 161,017.44

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Solution

The fourth proportional to 340,959.84, 511,329.10 and 161,017.44 is: 241,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,959.84 : 511,329.10 = 161,017.44 : x
  2. Step 2: Convert to fraction form
    340,959.84/511,329.10 = 161,017.44/x
  3. Step 3: Cross multiply
    340,959.84x = 511,329.10 × 161,017.44
  4. Step 4: Simplify right side
    340,959.84x = 82,332,902,679.50
  5. Step 5: Solve for x
    x = 82,332,902,679.50/340,959.84
  6. Step 6: Final answer
    x = 241,473.90

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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.