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Finding the Fourth Proportional to 397,251.12, 595,689.30 and 144,353.28

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Solution

The fourth proportional to 397,251.12, 595,689.30 and 144,353.28 is: 216,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,251.12 : 595,689.30 = 144,353.28 : x
  2. Step 2: Convert to fraction form
    397,251.12/595,689.30 = 144,353.28/x
  3. Step 3: Cross multiply
    397,251.12x = 595,689.30 × 144,353.28
  4. Step 4: Simplify right side
    397,251.12x = 85,989,704,315.90
  5. Step 5: Solve for x
    x = 85,989,704,315.90/397,251.12
  6. Step 6: Final answer
    x = 216,461.83

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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.