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Finding the Fourth Proportional to 548,647.02, 823,006.98 and 211,691.88

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Solution

The fourth proportional to 548,647.02, 823,006.98 and 211,691.88 is: 317,551.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,647.02 : 823,006.98 = 211,691.88 : x
  2. Step 2: Convert to fraction form
    548,647.02/823,006.98 = 211,691.88/x
  3. Step 3: Cross multiply
    548,647.02x = 823,006.98 × 211,691.88
  4. Step 4: Simplify right side
    548,647.02x = 174,223,894,849.32
  5. Step 5: Solve for x
    x = 174,223,894,849.32/548,647.02
  6. Step 6: Final answer
    x = 317,551.88

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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.