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Finding the Fourth Proportional to 647,002.90, 970,331.55 and 197,722.90

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Solution

The fourth proportional to 647,002.90, 970,331.55 and 197,722.90 is: 296,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,002.90 : 970,331.55 = 197,722.90 : x
  2. Step 2: Convert to fraction form
    647,002.90/970,331.55 = 197,722.90/x
  3. Step 3: Cross multiply
    647,002.90x = 970,331.55 × 197,722.90
  4. Step 4: Simplify right side
    647,002.90x = 191,856,768,027.50
  5. Step 5: Solve for x
    x = 191,856,768,027.50/647,002.90
  6. Step 6: Final answer
    x = 296,531.54

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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.