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Finding the Fourth Proportional to 647,616.20, 971,424.30 and 597,849.80

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Solution

The fourth proportional to 647,616.20, 971,424.30 and 597,849.80 is: 896,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,616.20 : 971,424.30 = 597,849.80 : x
  2. Step 2: Convert to fraction form
    647,616.20/971,424.30 = 597,849.80/x
  3. Step 3: Cross multiply
    647,616.20x = 971,424.30 × 597,849.80
  4. Step 4: Simplify right side
    647,616.20x = 580,765,823,470.14
  5. Step 5: Solve for x
    x = 580,765,823,470.14/647,616.20
  6. Step 6: Final answer
    x = 896,774.70

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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.