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Finding the Fourth Proportional to 264,385.14, 396,577.70 and 77,396.64

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Solution

The fourth proportional to 264,385.14, 396,577.70 and 77,396.64 is: 116,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,385.14 : 396,577.70 = 77,396.64 : x
  2. Step 2: Convert to fraction form
    264,385.14/396,577.70 = 77,396.64/x
  3. Step 3: Cross multiply
    264,385.14x = 396,577.70 × 77,396.64
  4. Step 4: Simplify right side
    264,385.14x = 30,693,781,478.93
  5. Step 5: Solve for x
    x = 30,693,781,478.93/264,385.14
  6. Step 6: Final answer
    x = 116,094.96

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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.