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Finding the Fourth Proportional to 289,906, 400,114.02 and 176,794.36

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Solution

The fourth proportional to 289,906, 400,114.02 and 176,794.36 is: 244,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,906 : 400,114.02 = 176,794.36 : x
  2. Step 2: Convert to fraction form
    289,906/400,114.02 = 176,794.36/x
  3. Step 3: Cross multiply
    289,906x = 400,114.02 × 176,794.36
  4. Step 4: Simplify right side
    289,906x = 70,737,902,092.93
  5. Step 5: Solve for x
    x = 70,737,902,092.93/289,906
  6. Step 6: Final answer
    x = 244,002.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.