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Finding the Fourth Proportional to 384,483.72, 576,362.70 and 184,917

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Solution

The fourth proportional to 384,483.72, 576,362.70 and 184,917 is: 277,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,483.72 : 576,362.70 = 184,917 : x
  2. Step 2: Convert to fraction form
    384,483.72/576,362.70 = 184,917/x
  3. Step 3: Cross multiply
    384,483.72x = 576,362.70 × 184,917
  4. Step 4: Simplify right side
    384,483.72x = 106,579,261,395.90
  5. Step 5: Solve for x
    x = 106,579,261,395.90/384,483.72
  6. Step 6: Final answer
    x = 277,200.97

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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.