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Finding the Fourth Proportional to 389,614.80, 584,422.20 and 212,467.80

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Solution

The fourth proportional to 389,614.80, 584,422.20 and 212,467.80 is: 318,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,614.80 : 584,422.20 = 212,467.80 : x
  2. Step 2: Convert to fraction form
    389,614.80/584,422.20 = 212,467.80/x
  3. Step 3: Cross multiply
    389,614.80x = 584,422.20 × 212,467.80
  4. Step 4: Simplify right side
    389,614.80x = 124,170,899,105.16
  5. Step 5: Solve for x
    x = 124,170,899,105.16/389,614.80
  6. Step 6: Final answer
    x = 318,701.70

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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.