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Finding the Fourth Proportional to 289,592.27, 399,400.38 and 203,835.14

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Solution

The fourth proportional to 289,592.27, 399,400.38 and 203,835.14 is: 281,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,592.27 : 399,400.38 = 203,835.14 : x
  2. Step 2: Convert to fraction form
    289,592.27/399,400.38 = 203,835.14/x
  3. Step 3: Cross multiply
    289,592.27x = 399,400.38 × 203,835.14
  4. Step 4: Simplify right side
    289,592.27x = 81,411,832,373.35
  5. Step 5: Solve for x
    x = 81,411,832,373.35/289,592.27
  6. Step 6: Final answer
    x = 281,125.71

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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.