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Finding the Fourth Proportional to 364,502.49, 503,013.75 and 203,357.58

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Solution

The fourth proportional to 364,502.49, 503,013.75 and 203,357.58 is: 280,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,502.49 : 503,013.75 = 203,357.58 : x
  2. Step 2: Convert to fraction form
    364,502.49/503,013.75 = 203,357.58/x
  3. Step 3: Cross multiply
    364,502.49x = 503,013.75 × 203,357.58
  4. Step 4: Simplify right side
    364,502.49x = 102,291,658,906.73
  5. Step 5: Solve for x
    x = 102,291,658,906.73/364,502.49
  6. Step 6: Final answer
    x = 280,633.64

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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.