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Finding the Fourth Proportional to 365,095.14, 503,828.89 and 203,948.77

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Solution

The fourth proportional to 365,095.14, 503,828.89 and 203,948.77 is: 281,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,095.14 : 503,828.89 = 203,948.77 : x
  2. Step 2: Convert to fraction form
    365,095.14/503,828.89 = 203,948.77/x
  3. Step 3: Cross multiply
    365,095.14x = 503,828.89 × 203,948.77
  4. Step 4: Simplify right side
    365,095.14x = 102,755,282,405.97
  5. Step 5: Solve for x
    x = 102,755,282,405.97/365,095.14
  6. Step 6: Final answer
    x = 281,447.96

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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.