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Finding the Fourth Proportional to 364,942.74, 503,663.82 and 303,580.61

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Solution

The fourth proportional to 364,942.74, 503,663.82 and 303,580.61 is: 418,976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,942.74 : 503,663.82 = 303,580.61 : x
  2. Step 2: Convert to fraction form
    364,942.74/503,663.82 = 303,580.61/x
  3. Step 3: Cross multiply
    364,942.74x = 503,663.82 × 303,580.61
  4. Step 4: Simplify right side
    364,942.74x = 152,902,569,650.16
  5. Step 5: Solve for x
    x = 152,902,569,650.16/364,942.74
  6. Step 6: Final answer
    x = 418,976.88

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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.