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Finding the Fourth Proportional to 384,480.72, 576,358.20 and 184,914

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Solution

The fourth proportional to 384,480.72, 576,358.20 and 184,914 is: 277,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,480.72 : 576,358.20 = 184,914 : x
  2. Step 2: Convert to fraction form
    384,480.72/576,358.20 = 184,914/x
  3. Step 3: Cross multiply
    384,480.72x = 576,358.20 × 184,914
  4. Step 4: Simplify right side
    384,480.72x = 106,576,700,194.80
  5. Step 5: Solve for x
    x = 106,576,700,194.80/384,480.72
  6. Step 6: Final answer
    x = 277,196.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.