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Finding the Fourth Proportional to 338,636.36, 467,252.28 and 200,789.76

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Solution

The fourth proportional to 338,636.36, 467,252.28 and 200,789.76 is: 277,050.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,636.36 : 467,252.28 = 200,789.76 : x
  2. Step 2: Convert to fraction form
    338,636.36/467,252.28 = 200,789.76/x
  3. Step 3: Cross multiply
    338,636.36x = 467,252.28 × 200,789.76
  4. Step 4: Simplify right side
    338,636.36x = 93,819,473,160.65
  5. Step 5: Solve for x
    x = 93,819,473,160.65/338,636.36
  6. Step 6: Final answer
    x = 277,050.80

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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.