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Finding the Fourth Proportional to 374,964.60, 517,448.70 and 205,198.20

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Solution

The fourth proportional to 374,964.60, 517,448.70 and 205,198.20 is: 283,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,964.60 : 517,448.70 = 205,198.20 : x
  2. Step 2: Convert to fraction form
    374,964.60/517,448.70 = 205,198.20/x
  3. Step 3: Cross multiply
    374,964.60x = 517,448.70 × 205,198.20
  4. Step 4: Simplify right side
    374,964.60x = 106,179,541,832.34
  5. Step 5: Solve for x
    x = 106,179,541,832.34/374,964.60
  6. Step 6: Final answer
    x = 283,172.18

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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.