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Finding the Fourth Proportional to 276,327.60, 414,710.10 and 107,928.60

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Solution

The fourth proportional to 276,327.60, 414,710.10 and 107,928.60 is: 161,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,327.60 : 414,710.10 = 107,928.60 : x
  2. Step 2: Convert to fraction form
    276,327.60/414,710.10 = 107,928.60/x
  3. Step 3: Cross multiply
    276,327.60x = 414,710.10 × 107,928.60
  4. Step 4: Simplify right side
    276,327.60x = 44,759,080,498.86
  5. Step 5: Solve for x
    x = 44,759,080,498.86/276,327.60
  6. Step 6: Final answer
    x = 161,978.32

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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.