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Finding the Fourth Proportional to 309,747.43, 464,565.72 and 197,093.01

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Solution

The fourth proportional to 309,747.43, 464,565.72 and 197,093.01 is: 295,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,747.43 : 464,565.72 = 197,093.01 : x
  2. Step 2: Convert to fraction form
    309,747.43/464,565.72 = 197,093.01/x
  3. Step 3: Cross multiply
    309,747.43x = 464,565.72 × 197,093.01
  4. Step 4: Simplify right side
    309,747.43x = 91,562,656,836.72
  5. Step 5: Solve for x
    x = 91,562,656,836.72/309,747.43
  6. Step 6: Final answer
    x = 295,604.25

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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.