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Finding the Fourth Proportional to 253,420.80, 379,670.40 and 206,419.20

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Solution

The fourth proportional to 253,420.80, 379,670.40 and 206,419.20 is: 309,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,420.80 : 379,670.40 = 206,419.20 : x
  2. Step 2: Convert to fraction form
    253,420.80/379,670.40 = 206,419.20/x
  3. Step 3: Cross multiply
    253,420.80x = 379,670.40 × 206,419.20
  4. Step 4: Simplify right side
    253,420.80x = 78,371,260,231.68
  5. Step 5: Solve for x
    x = 78,371,260,231.68/253,420.80
  6. Step 6: Final answer
    x = 309,253.46

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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.