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Finding the Fourth Proportional to 297,993.25, 411,230.69 and 163,857.25

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Solution

The fourth proportional to 297,993.25, 411,230.69 and 163,857.25 is: 226,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,993.25 : 411,230.69 = 163,857.25 : x
  2. Step 2: Convert to fraction form
    297,993.25/411,230.69 = 163,857.25/x
  3. Step 3: Cross multiply
    297,993.25x = 411,230.69 × 163,857.25
  4. Step 4: Simplify right side
    297,993.25x = 67,383,129,979.00
  5. Step 5: Solve for x
    x = 67,383,129,979.00/297,993.25
  6. Step 6: Final answer
    x = 226,123.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.