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Finding the Fourth Proportional to 276,435.36, 414,652.32 and 110,340

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Solution

The fourth proportional to 276,435.36, 414,652.32 and 110,340 is: 165,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,435.36 : 414,652.32 = 110,340 : x
  2. Step 2: Convert to fraction form
    276,435.36/414,652.32 = 110,340/x
  3. Step 3: Cross multiply
    276,435.36x = 414,652.32 × 110,340
  4. Step 4: Simplify right side
    276,435.36x = 45,752,736,988.80
  5. Step 5: Solve for x
    x = 45,752,736,988.80/276,435.36
  6. Step 6: Final answer
    x = 165,509.71

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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.