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Finding the Fourth Proportional to 364,310.72, 502,747.82 and 203,165.96

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Solution

The fourth proportional to 364,310.72, 502,747.82 and 203,165.96 is: 280,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,310.72 : 502,747.82 = 203,165.96 : x
  2. Step 2: Convert to fraction form
    364,310.72/502,747.82 = 203,165.96/x
  3. Step 3: Cross multiply
    364,310.72x = 502,747.82 × 203,165.96
  4. Step 4: Simplify right side
    364,310.72x = 102,141,243,488.21
  5. Step 5: Solve for x
    x = 102,141,243,488.21/364,310.72
  6. Step 6: Final answer
    x = 280,368.48

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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.