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Finding the Fourth Proportional to 267,816.40, 401,983.80 and 162,840.40

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Solution

The fourth proportional to 267,816.40, 401,983.80 and 162,840.40 is: 244,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,816.40 : 401,983.80 = 162,840.40 : x
  2. Step 2: Convert to fraction form
    267,816.40/401,983.80 = 162,840.40/x
  3. Step 3: Cross multiply
    267,816.40x = 401,983.80 × 162,840.40
  4. Step 4: Simplify right side
    267,816.40x = 65,459,202,785.52
  5. Step 5: Solve for x
    x = 65,459,202,785.52/267,816.40
  6. Step 6: Final answer
    x = 244,418.20

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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.