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Finding the Fourth Proportional to 264,932.22, 397,399.26 and 65,257.32

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Solution

The fourth proportional to 264,932.22, 397,399.26 and 65,257.32 is: 97,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,932.22 : 397,399.26 = 65,257.32 : x
  2. Step 2: Convert to fraction form
    264,932.22/397,399.26 = 65,257.32/x
  3. Step 3: Cross multiply
    264,932.22x = 397,399.26 × 65,257.32
  4. Step 4: Simplify right side
    264,932.22x = 25,933,210,677.58
  5. Step 5: Solve for x
    x = 25,933,210,677.58/264,932.22
  6. Step 6: Final answer
    x = 97,886.21

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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.