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Finding the Fourth Proportional to 276,004.20, 414,006.30 and 157,906.20

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Solution

The fourth proportional to 276,004.20, 414,006.30 and 157,906.20 is: 236,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,004.20 : 414,006.30 = 157,906.20 : x
  2. Step 2: Convert to fraction form
    276,004.20/414,006.30 = 157,906.20/x
  3. Step 3: Cross multiply
    276,004.20x = 414,006.30 × 157,906.20
  4. Step 4: Simplify right side
    276,004.20x = 65,374,161,609.06
  5. Step 5: Solve for x
    x = 65,374,161,609.06/276,004.20
  6. Step 6: Final answer
    x = 236,859.30

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1.5x scale

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.