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Finding the Fourth Proportional to 384,451.23, 576,800.24 and 184,786.10

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Solution

The fourth proportional to 384,451.23, 576,800.24 and 184,786.10 is: 277,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,451.23 : 576,800.24 = 184,786.10 : x
  2. Step 2: Convert to fraction form
    384,451.23/576,800.24 = 184,786.10/x
  3. Step 3: Cross multiply
    384,451.23x = 576,800.24 × 184,786.10
  4. Step 4: Simplify right side
    384,451.23x = 106,584,663,020.73
  5. Step 5: Solve for x
    x = 106,584,663,020.73/384,451.23
  6. Step 6: Final answer
    x = 277,238.45

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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.