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Finding the Fourth Proportional to 304,324.61, 419,892.51 and 196,765.22

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Solution

The fourth proportional to 304,324.61, 419,892.51 and 196,765.22 is: 271,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,324.61 : 419,892.51 = 196,765.22 : x
  2. Step 2: Convert to fraction form
    304,324.61/419,892.51 = 196,765.22/x
  3. Step 3: Cross multiply
    304,324.61x = 419,892.51 × 196,765.22
  4. Step 4: Simplify right side
    304,324.61x = 82,620,242,106.50
  5. Step 5: Solve for x
    x = 82,620,242,106.50/304,324.61
  6. Step 6: Final answer
    x = 271,487.22

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1.5x scale

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.