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Finding the Fourth Proportional to 309,668.76, 464,933.25 and 160,019.64

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Solution

The fourth proportional to 309,668.76, 464,933.25 and 160,019.64 is: 240,251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,668.76 : 464,933.25 = 160,019.64 : x
  2. Step 2: Convert to fraction form
    309,668.76/464,933.25 = 160,019.64/x
  3. Step 3: Cross multiply
    309,668.76x = 464,933.25 × 160,019.64
  4. Step 4: Simplify right side
    309,668.76x = 74,398,451,289.03
  5. Step 5: Solve for x
    x = 74,398,451,289.03/309,668.76
  6. Step 6: Final answer
    x = 240,251.72

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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.