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Finding the Fourth Proportional to 297,533.18, 410,594.49 and 161,566.03

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Solution

The fourth proportional to 297,533.18, 410,594.49 and 161,566.03 is: 222,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,533.18 : 410,594.49 = 161,566.03 : x
  2. Step 2: Convert to fraction form
    297,533.18/410,594.49 = 161,566.03/x
  3. Step 3: Cross multiply
    297,533.18x = 410,594.49 × 161,566.03
  4. Step 4: Simplify right side
    297,533.18x = 66,338,121,689.17
  5. Step 5: Solve for x
    x = 66,338,121,689.17/297,533.18
  6. Step 6: Final answer
    x = 222,960.42

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