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Finding the Fourth Proportional to 647,542.30, 970,924.65 and 332,614.30

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Solution

The fourth proportional to 647,542.30, 970,924.65 and 332,614.30 is: 498,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,542.30 : 970,924.65 = 332,614.30 : x
  2. Step 2: Convert to fraction form
    647,542.30/970,924.65 = 332,614.30/x
  3. Step 3: Cross multiply
    647,542.30x = 970,924.65 × 332,614.30
  4. Step 4: Simplify right side
    647,542.30x = 322,943,422,812.50
  5. Step 5: Solve for x
    x = 322,943,422,812.50/647,542.30
  6. Step 6: Final answer
    x = 498,721.74

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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.