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Finding the Fourth Proportional to 647,597.40, 971,311.05 and 198,363.30

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Solution

The fourth proportional to 647,597.40, 971,311.05 and 198,363.30 is: 297,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,597.40 : 971,311.05 = 198,363.30 : x
  2. Step 2: Convert to fraction form
    647,597.40/971,311.05 = 198,363.30/x
  3. Step 3: Cross multiply
    647,597.40x = 971,311.05 × 198,363.30
  4. Step 4: Simplify right side
    647,597.40x = 192,672,465,204.47
  5. Step 5: Solve for x
    x = 192,672,465,204.47/647,597.40
  6. Step 6: Final answer
    x = 297,518.90

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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.