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Finding the Fourth Proportional to 397,200.30, 595,411.65 and 160,226.70

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Solution

The fourth proportional to 397,200.30, 595,411.65 and 160,226.70 is: 240,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,200.30 : 595,411.65 = 160,226.70 : x
  2. Step 2: Convert to fraction form
    397,200.30/595,411.65 = 160,226.70/x
  3. Step 3: Cross multiply
    397,200.30x = 595,411.65 × 160,226.70
  4. Step 4: Simplify right side
    397,200.30x = 95,400,843,821.06
  5. Step 5: Solve for x
    x = 95,400,843,821.06/397,200.30
  6. Step 6: Final answer
    x = 240,183.21

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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.