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Finding the Fourth Proportional to 384,358.38, 576,643.26 and 184,845.66

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Solution

The fourth proportional to 384,358.38, 576,643.26 and 184,845.66 is: 277,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,358.38 : 576,643.26 = 184,845.66 : x
  2. Step 2: Convert to fraction form
    384,358.38/576,643.26 = 184,845.66/x
  3. Step 3: Cross multiply
    384,358.38x = 576,643.26 × 184,845.66
  4. Step 4: Simplify right side
    384,358.38x = 106,590,003,979.25
  5. Step 5: Solve for x
    x = 106,590,003,979.25/384,358.38
  6. Step 6: Final answer
    x = 277,319.32

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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.