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Finding the Fourth Proportional to 297,783.24, 410,943.42 and 161,817.16

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Solution

The fourth proportional to 297,783.24, 410,943.42 and 161,817.16 is: 223,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,783.24 : 410,943.42 = 161,817.16 : x
  2. Step 2: Convert to fraction form
    297,783.24/410,943.42 = 161,817.16/x
  3. Step 3: Cross multiply
    297,783.24x = 410,943.42 × 161,817.16
  4. Step 4: Simplify right side
    297,783.24x = 66,497,697,145.09
  5. Step 5: Solve for x
    x = 66,497,697,145.09/297,783.24
  6. Step 6: Final answer
    x = 223,309.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.