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Finding the Fourth Proportional to 647,587.10, 971,207.85 and 226,819.10

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Solution

The fourth proportional to 647,587.10, 971,207.85 and 226,819.10 is: 340,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,587.10 : 971,207.85 = 226,819.10 : x
  2. Step 2: Convert to fraction form
    647,587.10/971,207.85 = 226,819.10/x
  3. Step 3: Cross multiply
    647,587.10x = 971,207.85 × 226,819.10
  4. Step 4: Simplify right side
    647,587.10x = 220,288,490,449.94
  5. Step 5: Solve for x
    x = 220,288,490,449.94/647,587.10
  6. Step 6: Final answer
    x = 340,168.13

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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.