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Finding the Fourth Proportional to 374,805.82, 561,817.05 and 164,266.30

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Solution

The fourth proportional to 374,805.82, 561,817.05 and 164,266.30 is: 246,227.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,805.82 : 561,817.05 = 164,266.30 : x
  2. Step 2: Convert to fraction form
    374,805.82/561,817.05 = 164,266.30/x
  3. Step 3: Cross multiply
    374,805.82x = 561,817.05 × 164,266.30
  4. Step 4: Simplify right side
    374,805.82x = 92,287,608,080.42
  5. Step 5: Solve for x
    x = 92,287,608,080.42/374,805.82
  6. Step 6: Final answer
    x = 246,227.79

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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.