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Finding the Fourth Proportional to 384,183.86, 576,340.59 and 159,664.82

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Solution

The fourth proportional to 384,183.86, 576,340.59 and 159,664.82 is: 239,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,183.86 : 576,340.59 = 159,664.82 : x
  2. Step 2: Convert to fraction form
    384,183.86/576,340.59 = 159,664.82/x
  3. Step 3: Cross multiply
    384,183.86x = 576,340.59 × 159,664.82
  4. Step 4: Simplify right side
    384,183.86x = 92,021,316,561.04
  5. Step 5: Solve for x
    x = 92,021,316,561.04/384,183.86
  6. Step 6: Final answer
    x = 239,524.16

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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.