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Finding the Fourth Proportional to 290,302, 400,546.64 and 169,374.24

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Solution

The fourth proportional to 290,302, 400,546.64 and 169,374.24 is: 233,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,302 : 400,546.64 = 169,374.24 : x
  2. Step 2: Convert to fraction form
    290,302/400,546.64 = 169,374.24/x
  3. Step 3: Cross multiply
    290,302x = 400,546.64 × 169,374.24
  4. Step 4: Simplify right side
    290,302x = 67,842,282,734.55
  5. Step 5: Solve for x
    x = 67,842,282,734.55/290,302
  6. Step 6: Final answer
    x = 233,695.54

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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.