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Finding the Fourth Proportional to 458,819.94, 633,262.15 and 293,141.94

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Solution

The fourth proportional to 458,819.94, 633,262.15 and 293,141.94 is: 404,593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,819.94 : 633,262.15 = 293,141.94 : x
  2. Step 2: Convert to fraction form
    458,819.94/633,262.15 = 293,141.94/x
  3. Step 3: Cross multiply
    458,819.94x = 633,262.15 × 293,141.94
  4. Step 4: Simplify right side
    458,819.94x = 185,635,693,171.27
  5. Step 5: Solve for x
    x = 185,635,693,171.27/458,819.94
  6. Step 6: Final answer
    x = 404,593.78

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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.