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Finding the Fourth Proportional to 647,863.76, 971,802.12 and 227,149.76

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Solution

The fourth proportional to 647,863.76, 971,802.12 and 227,149.76 is: 340,726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,863.76 : 971,802.12 = 227,149.76 : x
  2. Step 2: Convert to fraction form
    647,863.76/971,802.12 = 227,149.76/x
  3. Step 3: Cross multiply
    647,863.76x = 971,802.12 × 227,149.76
  4. Step 4: Simplify right side
    647,863.76x = 220,744,618,325.49
  5. Step 5: Solve for x
    x = 220,744,618,325.49/647,863.76
  6. Step 6: Final answer
    x = 340,726.91

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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.