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Finding the Fourth Proportional to 699,452.92, 965,308.62 and 397,646.20

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Solution

The fourth proportional to 699,452.92, 965,308.62 and 397,646.20 is: 548,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,452.92 : 965,308.62 = 397,646.20 : x
  2. Step 2: Convert to fraction form
    699,452.92/965,308.62 = 397,646.20/x
  3. Step 3: Cross multiply
    699,452.92x = 965,308.62 × 397,646.20
  4. Step 4: Simplify right side
    699,452.92x = 383,851,304,570.24
  5. Step 5: Solve for x
    x = 383,851,304,570.24/699,452.92
  6. Step 6: Final answer
    x = 548,787.91

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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.