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Finding the Fourth Proportional to 297,533.28, 410,594.43 and 161,566.05

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Solution

The fourth proportional to 297,533.28, 410,594.43 and 161,566.05 is: 222,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,533.28 : 410,594.43 = 161,566.05 : x
  2. Step 2: Convert to fraction form
    297,533.28/410,594.43 = 161,566.05/x
  3. Step 3: Cross multiply
    297,533.28x = 410,594.43 × 161,566.05
  4. Step 4: Simplify right side
    297,533.28x = 66,338,120,207.10
  5. Step 5: Solve for x
    x = 66,338,120,207.10/297,533.28
  6. Step 6: Final answer
    x = 222,960.34

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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.