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Finding the Fourth Proportional to 329,764.80, 494,647.20 and 211,666.80

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Solution

The fourth proportional to 329,764.80, 494,647.20 and 211,666.80 is: 317,500.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,764.80 : 494,647.20 = 211,666.80 : x
  2. Step 2: Convert to fraction form
    329,764.80/494,647.20 = 211,666.80/x
  3. Step 3: Cross multiply
    329,764.80x = 494,647.20 × 211,666.80
  4. Step 4: Simplify right side
    329,764.80x = 104,700,389,952.96
  5. Step 5: Solve for x
    x = 104,700,389,952.96/329,764.80
  6. Step 6: Final answer
    x = 317,500.20

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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.