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Finding the Fourth Proportional to 647,344.80, 971,090.10 and 198,062.10

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Solution

The fourth proportional to 647,344.80, 971,090.10 and 198,062.10 is: 297,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,344.80 : 971,090.10 = 198,062.10 : x
  2. Step 2: Convert to fraction form
    647,344.80/971,090.10 = 198,062.10/x
  3. Step 3: Cross multiply
    647,344.80x = 971,090.10 × 198,062.10
  4. Step 4: Simplify right side
    647,344.80x = 192,336,144,495.21
  5. Step 5: Solve for x
    x = 192,336,144,495.21/647,344.80
  6. Step 6: Final answer
    x = 297,115.45

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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.