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Finding the Fourth Proportional to 420,410.31, 580,185.15 and 236,712.15

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Solution

The fourth proportional to 420,410.31, 580,185.15 and 236,712.15 is: 326,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,410.31 : 580,185.15 = 236,712.15 : x
  2. Step 2: Convert to fraction form
    420,410.31/580,185.15 = 236,712.15/x
  3. Step 3: Cross multiply
    420,410.31x = 580,185.15 × 236,712.15
  4. Step 4: Simplify right side
    420,410.31x = 137,336,874,254.57
  5. Step 5: Solve for x
    x = 137,336,874,254.57/420,410.31
  6. Step 6: Final answer
    x = 326,673.42

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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.