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Finding the Fourth Proportional to 363,214.82, 501,243.45 and 212,399.30

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Solution

The fourth proportional to 363,214.82, 501,243.45 and 212,399.30 is: 293,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,214.82 : 501,243.45 = 212,399.30 : x
  2. Step 2: Convert to fraction form
    363,214.82/501,243.45 = 212,399.30/x
  3. Step 3: Cross multiply
    363,214.82x = 501,243.45 × 212,399.30
  4. Step 4: Simplify right side
    363,214.82x = 106,463,757,909.59
  5. Step 5: Solve for x
    x = 106,463,757,909.59/363,214.82
  6. Step 6: Final answer
    x = 293,115.13

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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.