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Finding the Fourth Proportional to 518,304.52, 777,456.78 and 296,533

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Solution

The fourth proportional to 518,304.52, 777,456.78 and 296,533 is: 444,799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,304.52 : 777,456.78 = 296,533 : x
  2. Step 2: Convert to fraction form
    518,304.52/777,456.78 = 296,533/x
  3. Step 3: Cross multiply
    518,304.52x = 777,456.78 × 296,533
  4. Step 4: Simplify right side
    518,304.52x = 230,541,591,343.74
  5. Step 5: Solve for x
    x = 230,541,591,343.74/518,304.52
  6. Step 6: Final answer
    x = 444,799.50

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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.