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Finding the Fourth Proportional to 647,353.46, 971,033.25 and 198,073.61

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Solution

The fourth proportional to 647,353.46, 971,033.25 and 198,073.61 is: 297,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,353.46 : 971,033.25 = 198,073.61 : x
  2. Step 2: Convert to fraction form
    647,353.46/971,033.25 = 198,073.61/x
  3. Step 3: Cross multiply
    647,353.46x = 971,033.25 × 198,073.61
  4. Step 4: Simplify right side
    647,353.46x = 192,336,056,402.37
  5. Step 5: Solve for x
    x = 192,336,056,402.37/647,353.46
  6. Step 6: Final answer
    x = 297,111.35

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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.