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Finding the Fourth Proportional to 364,426.24, 502,912 and 203,296

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Solution

The fourth proportional to 364,426.24, 502,912 and 203,296 is: 280,550.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,426.24 : 502,912 = 203,296 : x
  2. Step 2: Convert to fraction form
    364,426.24/502,912 = 203,296/x
  3. Step 3: Cross multiply
    364,426.24x = 502,912 × 203,296
  4. Step 4: Simplify right side
    364,426.24x = 102,239,997,952
  5. Step 5: Solve for x
    x = 102,239,997,952/364,426.24
  6. Step 6: Final answer
    x = 280,550.59

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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.