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Finding the Fourth Proportional to 647,501.80, 971,325.60 and 198,219.10

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Solution

The fourth proportional to 647,501.80, 971,325.60 and 198,219.10 is: 297,350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,501.80 : 971,325.60 = 198,219.10 : x
  2. Step 2: Convert to fraction form
    647,501.80/971,325.60 = 198,219.10/x
  3. Step 3: Cross multiply
    647,501.80x = 971,325.60 × 198,219.10
  4. Step 4: Simplify right side
    647,501.80x = 192,535,286,238.96
  5. Step 5: Solve for x
    x = 192,535,286,238.96/647,501.80
  6. Step 6: Final answer
    x = 297,350.97

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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.