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Finding the Fourth Proportional to 647,551.90, 971,242.80 and 198,317.80

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Solution

The fourth proportional to 647,551.90, 971,242.80 and 198,317.80 is: 297,450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,551.90 : 971,242.80 = 198,317.80 : x
  2. Step 2: Convert to fraction form
    647,551.90/971,242.80 = 198,317.80/x
  3. Step 3: Cross multiply
    647,551.90x = 971,242.80 × 198,317.80
  4. Step 4: Simplify right side
    647,551.90x = 192,614,735,361.84
  5. Step 5: Solve for x
    x = 192,614,735,361.84/647,551.90
  6. Step 6: Final answer
    x = 297,450.65

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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.