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Finding the Fourth Proportional to 647,464.90, 971,197.35 and 198,184.90

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Solution

The fourth proportional to 647,464.90, 971,197.35 and 198,184.90 is: 297,277.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,464.90 : 971,197.35 = 198,184.90 : x
  2. Step 2: Convert to fraction form
    647,464.90/971,197.35 = 198,184.90/x
  3. Step 3: Cross multiply
    647,464.90x = 971,197.35 × 198,184.90
  4. Step 4: Simplify right side
    647,464.90x = 192,476,649,690.02
  5. Step 5: Solve for x
    x = 192,476,649,690.02/647,464.90
  6. Step 6: Final answer
    x = 297,277.35

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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.