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Finding the Fourth Proportional to 340,806.48, 470,314.89 and 197,651.58

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Solution

The fourth proportional to 340,806.48, 470,314.89 and 197,651.58 is: 272,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,806.48 : 470,314.89 = 197,651.58 : x
  2. Step 2: Convert to fraction form
    340,806.48/470,314.89 = 197,651.58/x
  3. Step 3: Cross multiply
    340,806.48x = 470,314.89 × 197,651.58
  4. Step 4: Simplify right side
    340,806.48x = 92,958,481,106.03
  5. Step 5: Solve for x
    x = 92,958,481,106.03/340,806.48
  6. Step 6: Final answer
    x = 272,760.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.