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Finding the Fourth Proportional to 276,427.89, 414,209.84 and 192,352.32

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Solution

The fourth proportional to 276,427.89, 414,209.84 and 192,352.32 is: 288,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,427.89 : 414,209.84 = 192,352.32 : x
  2. Step 2: Convert to fraction form
    276,427.89/414,209.84 = 192,352.32/x
  3. Step 3: Cross multiply
    276,427.89x = 414,209.84 × 192,352.32
  4. Step 4: Simplify right side
    276,427.89x = 79,674,222,729.07
  5. Step 5: Solve for x
    x = 79,674,222,729.07/276,427.89
  6. Step 6: Final answer
    x = 288,227.87

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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.