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Finding the Fourth Proportional to 647,822.80, 971,807.10 and 198,540.10

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Solution

The fourth proportional to 647,822.80, 971,807.10 and 198,540.10 is: 297,832.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,822.80 : 971,807.10 = 198,540.10 : x
  2. Step 2: Convert to fraction form
    647,822.80/971,807.10 = 198,540.10/x
  3. Step 3: Cross multiply
    647,822.80x = 971,807.10 × 198,540.10
  4. Step 4: Simplify right side
    647,822.80x = 192,942,678,814.71
  5. Step 5: Solve for x
    x = 192,942,678,814.71/647,822.80
  6. Step 6: Final answer
    x = 297,832.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.