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Finding the Fourth Proportional to 384,183.78, 577,537.74 and 356,439.12

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Solution

The fourth proportional to 384,183.78, 577,537.74 and 356,439.12 is: 535,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,183.78 : 577,537.74 = 356,439.12 : x
  2. Step 2: Convert to fraction form
    384,183.78/577,537.74 = 356,439.12/x
  3. Step 3: Cross multiply
    384,183.78x = 577,537.74 × 356,439.12
  4. Step 4: Simplify right side
    384,183.78x = 205,857,043,812.39
  5. Step 5: Solve for x
    x = 205,857,043,812.39/384,183.78
  6. Step 6: Final answer
    x = 535,829.61

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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.