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Finding the Fourth Proportional to 384,550.47, 576,867.87 and 159,937.47

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Solution

The fourth proportional to 384,550.47, 576,867.87 and 159,937.47 is: 239,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,550.47 : 576,867.87 = 159,937.47 : x
  2. Step 2: Convert to fraction form
    384,550.47/576,867.87 = 159,937.47/x
  3. Step 3: Cross multiply
    384,550.47x = 576,867.87 × 159,937.47
  4. Step 4: Simplify right side
    384,550.47x = 92,262,787,652.09
  5. Step 5: Solve for x
    x = 92,262,787,652.09/384,550.47
  6. Step 6: Final answer
    x = 239,923.74

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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.