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Finding the Fourth Proportional to 364,068, 502,408.80 and 202,936.32

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Solution

The fourth proportional to 364,068, 502,408.80 and 202,936.32 is: 280,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,068 : 502,408.80 = 202,936.32 : x
  2. Step 2: Convert to fraction form
    364,068/502,408.80 = 202,936.32/x
  3. Step 3: Cross multiply
    364,068x = 502,408.80 × 202,936.32
  4. Step 4: Simplify right side
    364,068x = 101,956,993,007.62
  5. Step 5: Solve for x
    x = 101,956,993,007.62/364,068
  6. Step 6: Final answer
    x = 280,049.31

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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.