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Finding the Fourth Proportional to 267,808.40, 401,971.80 and 162,832.40

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Solution

The fourth proportional to 267,808.40, 401,971.80 and 162,832.40 is: 244,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,808.40 : 401,971.80 = 162,832.40 : x
  2. Step 2: Convert to fraction form
    267,808.40/401,971.80 = 162,832.40/x
  3. Step 3: Cross multiply
    267,808.40x = 401,971.80 × 162,832.40
  4. Step 4: Simplify right side
    267,808.40x = 65,454,032,926.32
  5. Step 5: Solve for x
    x = 65,454,032,926.32/267,808.40
  6. Step 6: Final answer
    x = 244,406.20

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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.