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Finding the Fourth Proportional to 276,724.76, 381,987.29 and 216,314.96

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Solution

The fourth proportional to 276,724.76, 381,987.29 and 216,314.96 is: 298,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,724.76 : 381,987.29 = 216,314.96 : x
  2. Step 2: Convert to fraction form
    276,724.76/381,987.29 = 216,314.96/x
  3. Step 3: Cross multiply
    276,724.76x = 381,987.29 × 216,314.96
  4. Step 4: Simplify right side
    276,724.76x = 82,629,563,987.71
  5. Step 5: Solve for x
    x = 82,629,563,987.71/276,724.76
  6. Step 6: Final answer
    x = 298,598.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.