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Finding the Fourth Proportional to 384,167.20, 576,250.80 and 184,439.43

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Solution

The fourth proportional to 384,167.20, 576,250.80 and 184,439.43 is: 276,659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,167.20 : 576,250.80 = 184,439.43 : x
  2. Step 2: Convert to fraction form
    384,167.20/576,250.80 = 184,439.43/x
  3. Step 3: Cross multiply
    384,167.20x = 576,250.80 × 184,439.43
  4. Step 4: Simplify right side
    384,167.20x = 106,283,369,089.04
  5. Step 5: Solve for x
    x = 106,283,369,089.04/384,167.20
  6. Step 6: Final answer
    x = 276,659.15

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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.