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Finding the Fourth Proportional to 397,585.12, 595,943.90 and 195,320.42

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Solution

The fourth proportional to 397,585.12, 595,943.90 and 195,320.42 is: 292,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,585.12 : 595,943.90 = 195,320.42 : x
  2. Step 2: Convert to fraction form
    397,585.12/595,943.90 = 195,320.42/x
  3. Step 3: Cross multiply
    397,585.12x = 595,943.90 × 195,320.42
  4. Step 4: Simplify right side
    397,585.12x = 116,400,012,844.44
  5. Step 5: Solve for x
    x = 116,400,012,844.44/397,585.12
  6. Step 6: Final answer
    x = 292,767.53

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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.