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Finding the Fourth Proportional to 267,803.40, 401,964.30 and 162,827.40

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Solution

The fourth proportional to 267,803.40, 401,964.30 and 162,827.40 is: 244,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,803.40 : 401,964.30 = 162,827.40 : x
  2. Step 2: Convert to fraction form
    267,803.40/401,964.30 = 162,827.40/x
  3. Step 3: Cross multiply
    267,803.40x = 401,964.30 × 162,827.40
  4. Step 4: Simplify right side
    267,803.40x = 65,450,801,861.82
  5. Step 5: Solve for x
    x = 65,450,801,861.82/267,803.40
  6. Step 6: Final answer
    x = 244,398.70

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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.