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Finding the Fourth Proportional to 364,972.98, 503,657.73 and 203,830.86

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Solution

The fourth proportional to 364,972.98, 503,657.73 and 203,830.86 is: 281,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,972.98 : 503,657.73 = 203,830.86 : x
  2. Step 2: Convert to fraction form
    364,972.98/503,657.73 = 203,830.86/x
  3. Step 3: Cross multiply
    364,972.98x = 503,657.73 × 203,830.86
  4. Step 4: Simplify right side
    364,972.98x = 102,660,988,251.55
  5. Step 5: Solve for x
    x = 102,660,988,251.55/364,972.98
  6. Step 6: Final answer
    x = 281,283.80

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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.