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Finding the Fourth Proportional to 647,351.96, 971,031.00 and 198,072.11

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Solution

The fourth proportional to 647,351.96, 971,031.00 and 198,072.11 is: 297,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,351.96 : 971,031.00 = 198,072.11 : x
  2. Step 2: Convert to fraction form
    647,351.96/971,031.00 = 198,072.11/x
  3. Step 3: Cross multiply
    647,351.96x = 971,031.00 × 198,072.11
  4. Step 4: Simplify right side
    647,351.96x = 192,334,156,753.71
  5. Step 5: Solve for x
    x = 192,334,156,753.71/647,351.96
  6. Step 6: Final answer
    x = 297,109.10

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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.