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Finding the Fourth Proportional to 420,361.32, 580,111.40 and 239,099.32

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Solution

The fourth proportional to 420,361.32, 580,111.40 and 239,099.32 is: 329,964.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,361.32 : 580,111.40 = 239,099.32 : x
  2. Step 2: Convert to fraction form
    420,361.32/580,111.40 = 239,099.32/x
  3. Step 3: Cross multiply
    420,361.32x = 580,111.40 × 239,099.32
  4. Step 4: Simplify right side
    420,361.32x = 138,704,241,264.25
  5. Step 5: Solve for x
    x = 138,704,241,264.25/420,361.32
  6. Step 6: Final answer
    x = 329,964.33

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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.