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Finding the Fourth Proportional to 647,208.39, 970,857.54 and 197,894.70

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Solution

The fourth proportional to 647,208.39, 970,857.54 and 197,894.70 is: 296,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,208.39 : 970,857.54 = 197,894.70 : x
  2. Step 2: Convert to fraction form
    647,208.39/970,857.54 = 197,894.70/x
  3. Step 3: Cross multiply
    647,208.39x = 970,857.54 × 197,894.70
  4. Step 4: Simplify right side
    647,208.39x = 192,127,561,621.04
  5. Step 5: Solve for x
    x = 192,127,561,621.04/647,208.39
  6. Step 6: Final answer
    x = 296,855.80

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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.