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Finding the Fourth Proportional to 647,073.90, 970,525.80 and 197,839.80

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Solution

The fourth proportional to 647,073.90, 970,525.80 and 197,839.80 is: 296,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,073.90 : 970,525.80 = 197,839.80 : x
  2. Step 2: Convert to fraction form
    647,073.90/970,525.80 = 197,839.80/x
  3. Step 3: Cross multiply
    647,073.90x = 970,525.80 × 197,839.80
  4. Step 4: Simplify right side
    647,073.90x = 192,008,630,166.84
  5. Step 5: Solve for x
    x = 192,008,630,166.84/647,073.90
  6. Step 6: Final answer
    x = 296,733.70

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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.