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Finding the Fourth Proportional to 408,020.40, 611,857.80 and 197,722.80

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Solution

The fourth proportional to 408,020.40, 611,857.80 and 197,722.80 is: 296,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,020.40 : 611,857.80 = 197,722.80 : x
  2. Step 2: Convert to fraction form
    408,020.40/611,857.80 = 197,722.80/x
  3. Step 3: Cross multiply
    408,020.40x = 611,857.80 × 197,722.80
  4. Step 4: Simplify right side
    408,020.40x = 120,978,237,417.84
  5. Step 5: Solve for x
    x = 120,978,237,417.84/408,020.40
  6. Step 6: Final answer
    x = 296,500.46

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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.