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Finding the Fourth Proportional to 384,357.38, 576,641.76 and 184,844.66

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Solution

The fourth proportional to 384,357.38, 576,641.76 and 184,844.66 is: 277,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,357.38 : 576,641.76 = 184,844.66 : x
  2. Step 2: Convert to fraction form
    384,357.38/576,641.76 = 184,844.66/x
  3. Step 3: Cross multiply
    384,357.38x = 576,641.76 × 184,844.66
  4. Step 4: Simplify right side
    384,357.38x = 106,589,150,069.00
  5. Step 5: Solve for x
    x = 106,589,150,069.00/384,357.38
  6. Step 6: Final answer
    x = 277,317.82

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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.