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Finding the Fourth Proportional to 276,396.64, 414,631.44 and 96,485.31

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Solution

The fourth proportional to 276,396.64, 414,631.44 and 96,485.31 is: 144,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,396.64 : 414,631.44 = 96,485.31 : x
  2. Step 2: Convert to fraction form
    276,396.64/414,631.44 = 96,485.31/x
  3. Step 3: Cross multiply
    276,396.64x = 414,631.44 × 96,485.31
  4. Step 4: Simplify right side
    276,396.64x = 40,005,843,024.15
  5. Step 5: Solve for x
    x = 40,005,843,024.15/276,396.64
  6. Step 6: Final answer
    x = 144,740.70

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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.