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Finding the Fourth Proportional to 362,769.36, 543,249 and 229,246.80

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Solution

The fourth proportional to 362,769.36, 543,249 and 229,246.80 is: 343,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,769.36 : 543,249 = 229,246.80 : x
  2. Step 2: Convert to fraction form
    362,769.36/543,249 = 229,246.80/x
  3. Step 3: Cross multiply
    362,769.36x = 543,249 × 229,246.80
  4. Step 4: Simplify right side
    362,769.36x = 124,538,094,853.20
  5. Step 5: Solve for x
    x = 124,538,094,853.20/362,769.36
  6. Step 6: Final answer
    x = 343,298.27

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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.