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Finding the Fourth Proportional to 264,503.27, 396,755.36 and 64,824.30

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Solution

The fourth proportional to 264,503.27, 396,755.36 and 64,824.30 is: 97,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,503.27 : 396,755.36 = 64,824.30 : x
  2. Step 2: Convert to fraction form
    264,503.27/396,755.36 = 64,824.30/x
  3. Step 3: Cross multiply
    264,503.27x = 396,755.36 × 64,824.30
  4. Step 4: Simplify right side
    264,503.27x = 25,719,388,159.13
  5. Step 5: Solve for x
    x = 25,719,388,159.13/264,503.27
  6. Step 6: Final answer
    x = 97,236.56

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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.