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Finding the Fourth Proportional to 276,429.88, 414,611.92 and 162,645.74

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Solution

The fourth proportional to 276,429.88, 414,611.92 and 162,645.74 is: 243,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,429.88 : 414,611.92 = 162,645.74 : x
  2. Step 2: Convert to fraction form
    276,429.88/414,611.92 = 162,645.74/x
  3. Step 3: Cross multiply
    276,429.88x = 414,611.92 × 162,645.74
  4. Step 4: Simplify right side
    276,429.88x = 67,434,862,541.22
  5. Step 5: Solve for x
    x = 67,434,862,541.22/276,429.88
  6. Step 6: Final answer
    x = 243,949.25

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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.