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Finding the Fourth Proportional to 472,283.80, 707,964.90 and 422,517.40

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Solution

The fourth proportional to 472,283.80, 707,964.90 and 422,517.40 is: 633,363.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,283.80 : 707,964.90 = 422,517.40 : x
  2. Step 2: Convert to fraction form
    472,283.80/707,964.90 = 422,517.40/x
  3. Step 3: Cross multiply
    472,283.80x = 707,964.90 × 422,517.40
  4. Step 4: Simplify right side
    472,283.80x = 299,127,488,839.26
  5. Step 5: Solve for x
    x = 299,127,488,839.26/472,283.80
  6. Step 6: Final answer
    x = 633,363.86

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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.