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Finding the Fourth Proportional to 276,091.40, 414,137.10 and 264,427.40

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Solution

The fourth proportional to 276,091.40, 414,137.10 and 264,427.40 is: 396,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,091.40 : 414,137.10 = 264,427.40 : x
  2. Step 2: Convert to fraction form
    276,091.40/414,137.10 = 264,427.40/x
  3. Step 3: Cross multiply
    276,091.40x = 414,137.10 × 264,427.40
  4. Step 4: Simplify right side
    276,091.40x = 109,509,196,596.54
  5. Step 5: Solve for x
    x = 109,509,196,596.54/276,091.40
  6. Step 6: Final answer
    x = 396,641.10

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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.