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Finding the Fourth Proportional to 284,693.82, 427,192.98 and 184,830.54

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Solution

The fourth proportional to 284,693.82, 427,192.98 and 184,830.54 is: 277,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,693.82 : 427,192.98 = 184,830.54 : x
  2. Step 2: Convert to fraction form
    284,693.82/427,192.98 = 184,830.54/x
  3. Step 3: Cross multiply
    284,693.82x = 427,192.98 × 184,830.54
  4. Step 4: Simplify right side
    284,693.82x = 78,958,309,177.61
  5. Step 5: Solve for x
    x = 78,958,309,177.61/284,693.82
  6. Step 6: Final answer
    x = 277,344.65

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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.