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Finding the Fourth Proportional to 375,212.14, 517,792.80 and 205,446.34

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Solution

The fourth proportional to 375,212.14, 517,792.80 and 205,446.34 is: 283,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,212.14 : 517,792.80 = 205,446.34 : x
  2. Step 2: Convert to fraction form
    375,212.14/517,792.80 = 205,446.34/x
  3. Step 3: Cross multiply
    375,212.14x = 517,792.80 × 205,446.34
  4. Step 4: Simplify right side
    375,212.14x = 106,378,635,638.35
  5. Step 5: Solve for x
    x = 106,378,635,638.35/375,212.14
  6. Step 6: Final answer
    x = 283,515.97

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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.