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Finding the Fourth Proportional to 304,204.30, 419,858.10 and 195,444.60

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Solution

The fourth proportional to 304,204.30, 419,858.10 and 195,444.60 is: 269,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,204.30 : 419,858.10 = 195,444.60 : x
  2. Step 2: Convert to fraction form
    304,204.30/419,858.10 = 195,444.60/x
  3. Step 3: Cross multiply
    304,204.30x = 419,858.10 × 195,444.60
  4. Step 4: Simplify right side
    304,204.30x = 82,058,998,411.26
  5. Step 5: Solve for x
    x = 82,058,998,411.26/304,204.30
  6. Step 6: Final answer
    x = 269,749.63

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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.