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Finding the Fourth Proportional to 420,340.10, 580,082.16 and 239,078.15

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Solution

The fourth proportional to 420,340.10, 580,082.16 and 239,078.15 is: 329,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,340.10 : 580,082.16 = 239,078.15 : x
  2. Step 2: Convert to fraction form
    420,340.10/580,082.16 = 239,078.15/x
  3. Step 3: Cross multiply
    420,340.10x = 580,082.16 × 239,078.15
  4. Step 4: Simplify right side
    420,340.10x = 138,684,968,487.43
  5. Step 5: Solve for x
    x = 138,684,968,487.43/420,340.10
  6. Step 6: Final answer
    x = 329,935.14

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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.