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Finding the Fourth Proportional to 364,502.62, 503,035.95 and 203,357.98

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Solution

The fourth proportional to 364,502.62, 503,035.95 and 203,357.98 is: 280,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,502.62 : 503,035.95 = 203,357.98 : x
  2. Step 2: Convert to fraction form
    364,502.62/503,035.95 = 203,357.98/x
  3. Step 3: Cross multiply
    364,502.62x = 503,035.95 × 203,357.98
  4. Step 4: Simplify right side
    364,502.62x = 102,296,374,659.38
  5. Step 5: Solve for x
    x = 102,296,374,659.38/364,502.62
  6. Step 6: Final answer
    x = 280,646.47

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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.