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Finding the Fourth Proportional to 264,259.40, 396,449.64 and 114,524.82

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Solution

The fourth proportional to 264,259.40, 396,449.64 and 114,524.82 is: 171,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,259.40 : 396,449.64 = 114,524.82 : x
  2. Step 2: Convert to fraction form
    264,259.40/396,449.64 = 114,524.82/x
  3. Step 3: Cross multiply
    264,259.40x = 396,449.64 × 114,524.82
  4. Step 4: Simplify right side
    264,259.40x = 45,403,323,660.06
  5. Step 5: Solve for x
    x = 45,403,323,660.06/264,259.40
  6. Step 6: Final answer
    x = 171,813.47

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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.