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Finding the Fourth Proportional to 382,216.80, 573,325.20 and 270,023.70

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Solution

The fourth proportional to 382,216.80, 573,325.20 and 270,023.70 is: 405,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,216.80 : 573,325.20 = 270,023.70 : x
  2. Step 2: Convert to fraction form
    382,216.80/573,325.20 = 270,023.70/x
  3. Step 3: Cross multiply
    382,216.80x = 573,325.20 × 270,023.70
  4. Step 4: Simplify right side
    382,216.80x = 154,811,391,807.24
  5. Step 5: Solve for x
    x = 154,811,391,807.24/382,216.80
  6. Step 6: Final answer
    x = 405,035.55

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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.