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Finding the Fourth Proportional to 276,255.52, 414,321.84 and 107,780.32

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Solution

The fourth proportional to 276,255.52, 414,321.84 and 107,780.32 is: 161,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,255.52 : 414,321.84 = 107,780.32 : x
  2. Step 2: Convert to fraction form
    276,255.52/414,321.84 = 107,780.32/x
  3. Step 3: Cross multiply
    276,255.52x = 414,321.84 × 107,780.32
  4. Step 4: Simplify right side
    276,255.52x = 44,655,740,498.19
  5. Step 5: Solve for x
    x = 44,655,740,498.19/276,255.52
  6. Step 6: Final answer
    x = 161,646.51

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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.