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Finding the Fourth Proportional to 365,002.28, 503,653.34 and 203,836.77

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Solution

The fourth proportional to 365,002.28, 503,653.34 and 203,836.77 is: 281,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,002.28 : 503,653.34 = 203,836.77 : x
  2. Step 2: Convert to fraction form
    365,002.28/503,653.34 = 203,836.77/x
  3. Step 3: Cross multiply
    365,002.28x = 503,653.34 × 203,836.77
  4. Step 4: Simplify right side
    365,002.28x = 102,663,069,006.13
  5. Step 5: Solve for x
    x = 102,663,069,006.13/365,002.28
  6. Step 6: Final answer
    x = 281,266.93

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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.