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Finding the Fourth Proportional to 389,614.20, 584,421.30 and 256,644.60

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Solution

The fourth proportional to 389,614.20, 584,421.30 and 256,644.60 is: 384,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,614.20 : 584,421.30 = 256,644.60 : x
  2. Step 2: Convert to fraction form
    389,614.20/584,421.30 = 256,644.60/x
  3. Step 3: Cross multiply
    389,614.20x = 584,421.30 × 256,644.60
  4. Step 4: Simplify right side
    389,614.20x = 149,988,570,769.98
  5. Step 5: Solve for x
    x = 149,988,570,769.98/389,614.20
  6. Step 6: Final answer
    x = 384,966.90

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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.