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Finding the Fourth Proportional to 290,432.16, 400,860.37 and 161,414.93

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Solution

The fourth proportional to 290,432.16, 400,860.37 and 161,414.93 is: 222,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,432.16 : 400,860.37 = 161,414.93 : x
  2. Step 2: Convert to fraction form
    290,432.16/400,860.37 = 161,414.93/x
  3. Step 3: Cross multiply
    290,432.16x = 400,860.37 × 161,414.93
  4. Step 4: Simplify right side
    290,432.16x = 64,704,847,058.42
  5. Step 5: Solve for x
    x = 64,704,847,058.42/290,432.16
  6. Step 6: Final answer
    x = 222,788.16

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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.