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Finding the Fourth Proportional to 264,796.35, 396,970.48 and 114,923.26

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Solution

The fourth proportional to 264,796.35, 396,970.48 and 114,923.26 is: 172,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,796.35 : 396,970.48 = 114,923.26 : x
  2. Step 2: Convert to fraction form
    264,796.35/396,970.48 = 114,923.26/x
  3. Step 3: Cross multiply
    264,796.35x = 396,970.48 × 114,923.26
  4. Step 4: Simplify right side
    264,796.35x = 45,621,141,685.36
  5. Step 5: Solve for x
    x = 45,621,141,685.36/264,796.35
  6. Step 6: Final answer
    x = 172,287.65

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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.