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Finding the Fourth Proportional to 297,434.20, 410,459.52 and 161,468.08

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Solution

The fourth proportional to 297,434.20, 410,459.52 and 161,468.08 is: 222,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,434.20 : 410,459.52 = 161,468.08 : x
  2. Step 2: Convert to fraction form
    297,434.20/410,459.52 = 161,468.08/x
  3. Step 3: Cross multiply
    297,434.20x = 410,459.52 × 161,468.08
  4. Step 4: Simplify right side
    297,434.20x = 66,276,110,612.12
  5. Step 5: Solve for x
    x = 66,276,110,612.12/297,434.20
  6. Step 6: Final answer
    x = 222,826.13

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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.