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Finding the Fourth Proportional to 382,333.72, 527,619.77 and 219,043.11

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Solution

The fourth proportional to 382,333.72, 527,619.77 and 219,043.11 is: 302,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,333.72 : 527,619.77 = 219,043.11 : x
  2. Step 2: Convert to fraction form
    382,333.72/527,619.77 = 219,043.11/x
  3. Step 3: Cross multiply
    382,333.72x = 527,619.77 × 219,043.11
  4. Step 4: Simplify right side
    382,333.72x = 115,571,475,318.29
  5. Step 5: Solve for x
    x = 115,571,475,318.29/382,333.72
  6. Step 6: Final answer
    x = 302,279.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.