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Finding the Fourth Proportional to 384,203.85, 576,469.80 and 184,421.40

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Solution

The fourth proportional to 384,203.85, 576,469.80 and 184,421.40 is: 276,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,203.85 : 576,469.80 = 184,421.40 : x
  2. Step 2: Convert to fraction form
    384,203.85/576,469.80 = 184,421.40/x
  3. Step 3: Cross multiply
    384,203.85x = 576,469.80 × 184,421.40
  4. Step 4: Simplify right side
    384,203.85x = 106,313,367,573.72
  5. Step 5: Solve for x
    x = 106,313,367,573.72/384,203.85
  6. Step 6: Final answer
    x = 276,710.83

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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.