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Finding the Fourth Proportional to 290,773.80, 435,460.86 and 196,995.24

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Solution

The fourth proportional to 290,773.80, 435,460.86 and 196,995.24 is: 295,018.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,773.80 : 435,460.86 = 196,995.24 : x
  2. Step 2: Convert to fraction form
    290,773.80/435,460.86 = 196,995.24/x
  3. Step 3: Cross multiply
    290,773.80x = 435,460.86 × 196,995.24
  4. Step 4: Simplify right side
    290,773.80x = 85,783,716,626.31
  5. Step 5: Solve for x
    x = 85,783,716,626.31/290,773.80
  6. Step 6: Final answer
    x = 295,018.73

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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.