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Finding the Fourth Proportional to 267,336.70, 401,023.50 and 77,798.64

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Solution

The fourth proportional to 267,336.70, 401,023.50 and 77,798.64 is: 116,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,336.70 : 401,023.50 = 77,798.64 : x
  2. Step 2: Convert to fraction form
    267,336.70/401,023.50 = 77,798.64/x
  3. Step 3: Cross multiply
    267,336.70x = 401,023.50 × 77,798.64
  4. Step 4: Simplify right side
    267,336.70x = 31,199,080,902.92
  5. Step 5: Solve for x
    x = 31,199,080,902.92/267,336.70
  6. Step 6: Final answer
    x = 116,703.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.