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Finding the Fourth Proportional to 515,757.74, 773,646.16 and 178,809.37

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Solution

The fourth proportional to 515,757.74, 773,646.16 and 178,809.37 is: 268,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,757.74 : 773,646.16 = 178,809.37 : x
  2. Step 2: Convert to fraction form
    515,757.74/773,646.16 = 178,809.37/x
  3. Step 3: Cross multiply
    515,757.74x = 773,646.16 × 178,809.37
  4. Step 4: Simplify right side
    515,757.74x = 138,335,182,472.52
  5. Step 5: Solve for x
    x = 138,335,182,472.52/515,757.74
  6. Step 6: Final answer
    x = 268,217.37

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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.