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Finding the Fourth Proportional to 384,454.98, 576,805.86 and 184,789.86

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Solution

The fourth proportional to 384,454.98, 576,805.86 and 184,789.86 is: 277,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,454.98 : 576,805.86 = 184,789.86 : x
  2. Step 2: Convert to fraction form
    384,454.98/576,805.86 = 184,789.86/x
  3. Step 3: Cross multiply
    384,454.98x = 576,805.86 × 184,789.86
  4. Step 4: Simplify right side
    384,454.98x = 106,587,874,116.58
  5. Step 5: Solve for x
    x = 106,587,874,116.58/384,454.98
  6. Step 6: Final answer
    x = 277,244.10

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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.