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Finding the Fourth Proportional to 389,725.60, 584,296.80 and 212,432.80

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Solution

The fourth proportional to 389,725.60, 584,296.80 and 212,432.80 is: 318,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,725.60 : 584,296.80 = 212,432.80 : x
  2. Step 2: Convert to fraction form
    389,725.60/584,296.80 = 212,432.80/x
  3. Step 3: Cross multiply
    389,725.60x = 584,296.80 × 212,432.80
  4. Step 4: Simplify right side
    389,725.60x = 124,123,805,255.04
  5. Step 5: Solve for x
    x = 124,123,805,255.04/389,725.60
  6. Step 6: Final answer
    x = 318,490.25

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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.