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Finding the Fourth Proportional to 297,399.63, 410,400.36 and 161,430.65

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Solution

The fourth proportional to 297,399.63, 410,400.36 and 161,430.65 is: 222,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,399.63 : 410,400.36 = 161,430.65 : x
  2. Step 2: Convert to fraction form
    297,399.63/410,400.36 = 161,430.65/x
  3. Step 3: Cross multiply
    297,399.63x = 410,400.36 × 161,430.65
  4. Step 4: Simplify right side
    297,399.63x = 66,251,196,875.03
  5. Step 5: Solve for x
    x = 66,251,196,875.03/297,399.63
  6. Step 6: Final answer
    x = 222,768.26

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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.