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Finding the Fourth Proportional to 437,272.40, 656,200.20 and 200,493.20

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Solution

The fourth proportional to 437,272.40, 656,200.20 and 200,493.20 is: 300,873.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,272.40 : 656,200.20 = 200,493.20 : x
  2. Step 2: Convert to fraction form
    437,272.40/656,200.20 = 200,493.20/x
  3. Step 3: Cross multiply
    437,272.40x = 656,200.20 × 200,493.20
  4. Step 4: Simplify right side
    437,272.40x = 131,563,677,938.64
  5. Step 5: Solve for x
    x = 131,563,677,938.64/437,272.40
  6. Step 6: Final answer
    x = 300,873.50

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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.