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Finding the Fourth Proportional to 277,806.06, 416,446.65 and 252,349.38

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Solution

The fourth proportional to 277,806.06, 416,446.65 and 252,349.38 is: 378,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,806.06 : 416,446.65 = 252,349.38 : x
  2. Step 2: Convert to fraction form
    277,806.06/416,446.65 = 252,349.38/x
  3. Step 3: Cross multiply
    277,806.06x = 416,446.65 × 252,349.38
  4. Step 4: Simplify right side
    277,806.06x = 105,090,053,930.58
  5. Step 5: Solve for x
    x = 105,090,053,930.58/277,806.06
  6. Step 6: Final answer
    x = 378,285.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.