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Finding the Fourth Proportional to 297,330.53, 410,319.14 and 161,365.68

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Solution

The fourth proportional to 297,330.53, 410,319.14 and 161,365.68 is: 222,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,330.53 : 410,319.14 = 161,365.68 : x
  2. Step 2: Convert to fraction form
    297,330.53/410,319.14 = 161,365.68/x
  3. Step 3: Cross multiply
    297,330.53x = 410,319.14 × 161,365.68
  4. Step 4: Simplify right side
    297,330.53x = 66,211,426,236.29
  5. Step 5: Solve for x
    x = 66,211,426,236.29/297,330.53
  6. Step 6: Final answer
    x = 222,686.27

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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.