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Finding the Fourth Proportional to 647,959.80, 972,231.30 and 227,537.40

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Solution

The fourth proportional to 647,959.80, 972,231.30 and 227,537.40 is: 341,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,959.80 : 972,231.30 = 227,537.40 : x
  2. Step 2: Convert to fraction form
    647,959.80/972,231.30 = 227,537.40/x
  3. Step 3: Cross multiply
    647,959.80x = 972,231.30 × 227,537.40
  4. Step 4: Simplify right side
    647,959.80x = 221,218,982,200.62
  5. Step 5: Solve for x
    x = 221,218,982,200.62/647,959.80
  6. Step 6: Final answer
    x = 341,408.50

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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.