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Finding the Fourth Proportional to 214,429.40, 321,644.10 and 200,432.60

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Solution

The fourth proportional to 214,429.40, 321,644.10 and 200,432.60 is: 300,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,429.40 : 321,644.10 = 200,432.60 : x
  2. Step 2: Convert to fraction form
    214,429.40/321,644.10 = 200,432.60/x
  3. Step 3: Cross multiply
    214,429.40x = 321,644.10 × 200,432.60
  4. Step 4: Simplify right side
    214,429.40x = 64,467,963,237.66
  5. Step 5: Solve for x
    x = 64,467,963,237.66/214,429.40
  6. Step 6: Final answer
    x = 300,648.90

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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.