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Finding the Fourth Proportional to 437,771.40, 656,171.10 and 171,443.40

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Solution

The fourth proportional to 437,771.40, 656,171.10 and 171,443.40 is: 256,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,771.40 : 656,171.10 = 171,443.40 : x
  2. Step 2: Convert to fraction form
    437,771.40/656,171.10 = 171,443.40/x
  3. Step 3: Cross multiply
    437,771.40x = 656,171.10 × 171,443.40
  4. Step 4: Simplify right side
    437,771.40x = 112,496,204,365.74
  5. Step 5: Solve for x
    x = 112,496,204,365.74/437,771.40
  6. Step 6: Final answer
    x = 256,974.77

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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.