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Finding the Fourth Proportional to 267,638.64, 401,454.48 and 65,235.75

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Solution

The fourth proportional to 267,638.64, 401,454.48 and 65,235.75 is: 97,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,638.64 : 401,454.48 = 65,235.75 : x
  2. Step 2: Convert to fraction form
    267,638.64/401,454.48 = 65,235.75/x
  3. Step 3: Cross multiply
    267,638.64x = 401,454.48 × 65,235.75
  4. Step 4: Simplify right side
    267,638.64x = 26,189,184,093.66
  5. Step 5: Solve for x
    x = 26,189,184,093.66/267,638.64
  6. Step 6: Final answer
    x = 97,852.78

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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.