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Finding the Fourth Proportional to 397,767.14, 595,954.52 and 270,995.87

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Solution

The fourth proportional to 397,767.14, 595,954.52 and 270,995.87 is: 406,019.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,767.14 : 595,954.52 = 270,995.87 : x
  2. Step 2: Convert to fraction form
    397,767.14/595,954.52 = 270,995.87/x
  3. Step 3: Cross multiply
    397,767.14x = 595,954.52 × 270,995.87
  4. Step 4: Simplify right side
    397,767.14x = 161,501,209,293.08
  5. Step 5: Solve for x
    x = 161,501,209,293.08/397,767.14
  6. Step 6: Final answer
    x = 406,019.49

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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.