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Finding the Fourth Proportional to 564,238.58, 846,245.55 and 264,642.26

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Solution

The fourth proportional to 564,238.58, 846,245.55 and 264,642.26 is: 396,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,238.58 : 846,245.55 = 264,642.26 : x
  2. Step 2: Convert to fraction form
    564,238.58/846,245.55 = 264,642.26/x
  3. Step 3: Cross multiply
    564,238.58x = 846,245.55 × 264,642.26
  4. Step 4: Simplify right side
    564,238.58x = 223,952,334,866.94
  5. Step 5: Solve for x
    x = 223,952,334,866.94/564,238.58
  6. Step 6: Final answer
    x = 396,910.71

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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.