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Finding the Fourth Proportional to 364,970.73, 503,654.63 and 203,828.61

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Solution

The fourth proportional to 364,970.73, 503,654.63 and 203,828.61 is: 281,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,970.73 : 503,654.63 = 203,828.61 : x
  2. Step 2: Convert to fraction form
    364,970.73/503,654.63 = 203,828.61/x
  3. Step 3: Cross multiply
    364,970.73x = 503,654.63 × 203,828.61
  4. Step 4: Simplify right side
    364,970.73x = 102,659,222,133.82
  5. Step 5: Solve for x
    x = 102,659,222,133.82/364,970.73
  6. Step 6: Final answer
    x = 281,280.70

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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.