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Finding the Fourth Proportional to 647,797.64, 971,838.63 and 198,552.29

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Solution

The fourth proportional to 647,797.64, 971,838.63 and 198,552.29 is: 297,872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,797.64 : 971,838.63 = 198,552.29 : x
  2. Step 2: Convert to fraction form
    647,797.64/971,838.63 = 198,552.29/x
  3. Step 3: Cross multiply
    647,797.64x = 971,838.63 × 198,552.29
  4. Step 4: Simplify right side
    647,797.64x = 192,960,785,496.96
  5. Step 5: Solve for x
    x = 192,960,785,496.96/647,797.64
  6. Step 6: Final answer
    x = 297,872.01

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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.