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Finding the Fourth Proportional to 397,022.40, 595,361.16 and 144,218.88

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Solution

The fourth proportional to 397,022.40, 595,361.16 and 144,218.88 is: 216,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,022.40 : 595,361.16 = 144,218.88 : x
  2. Step 2: Convert to fraction form
    397,022.40/595,361.16 = 144,218.88/x
  3. Step 3: Cross multiply
    397,022.40x = 595,361.16 × 144,218.88
  4. Step 4: Simplify right side
    397,022.40x = 85,862,319,690.70
  5. Step 5: Solve for x
    x = 85,862,319,690.70/397,022.40
  6. Step 6: Final answer
    x = 216,265.68

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Why These Related Problems?

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