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Finding the Fourth Proportional to 267,218.40, 400,827.60 and 165,741.60

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Solution

The fourth proportional to 267,218.40, 400,827.60 and 165,741.60 is: 248,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,218.40 : 400,827.60 = 165,741.60 : x
  2. Step 2: Convert to fraction form
    267,218.40/400,827.60 = 165,741.60/x
  3. Step 3: Cross multiply
    267,218.40x = 400,827.60 × 165,741.60
  4. Step 4: Simplify right side
    267,218.40x = 66,433,807,748.16
  5. Step 5: Solve for x
    x = 66,433,807,748.16/267,218.40
  6. Step 6: Final answer
    x = 248,612.40

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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.