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Finding the Fourth Proportional to 397,175.85, 595,576.58 and 144,278.06

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Solution

The fourth proportional to 397,175.85, 595,576.58 and 144,278.06 is: 216,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,175.85 : 595,576.58 = 144,278.06 : x
  2. Step 2: Convert to fraction form
    397,175.85/595,576.58 = 144,278.06/x
  3. Step 3: Cross multiply
    397,175.85x = 595,576.58 × 144,278.06
  4. Step 4: Simplify right side
    397,175.85x = 85,928,629,844.56
  5. Step 5: Solve for x
    x = 85,928,629,844.56/397,175.85
  6. Step 6: Final answer
    x = 216,349.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.