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Finding the Fourth Proportional to 647,516.80, 971,348.10 and 198,234.10

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Solution

The fourth proportional to 647,516.80, 971,348.10 and 198,234.10 is: 297,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,516.80 : 971,348.10 = 198,234.10 : x
  2. Step 2: Convert to fraction form
    647,516.80/971,348.10 = 198,234.10/x
  3. Step 3: Cross multiply
    647,516.80x = 971,348.10 × 198,234.10
  4. Step 4: Simplify right side
    647,516.80x = 192,554,316,390.21
  5. Step 5: Solve for x
    x = 192,554,316,390.21/647,516.80
  6. Step 6: Final answer
    x = 297,373.47

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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.