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Finding the Fourth Proportional to 267,333.40, 401,000.10 and 165,856.60

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Solution

The fourth proportional to 267,333.40, 401,000.10 and 165,856.60 is: 248,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,333.40 : 401,000.10 = 165,856.60 : x
  2. Step 2: Convert to fraction form
    267,333.40/401,000.10 = 165,856.60/x
  3. Step 3: Cross multiply
    267,333.40x = 401,000.10 × 165,856.60
  4. Step 4: Simplify right side
    267,333.40x = 66,508,513,185.66
  5. Step 5: Solve for x
    x = 66,508,513,185.66/267,333.40
  6. Step 6: Final answer
    x = 248,784.90

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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.