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Finding the Fourth Proportional to 276,292.43, 414,437.28 and 238,738.22

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Solution

The fourth proportional to 276,292.43, 414,437.28 and 238,738.22 is: 358,106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,292.43 : 414,437.28 = 238,738.22 : x
  2. Step 2: Convert to fraction form
    276,292.43/414,437.28 = 238,738.22/x
  3. Step 3: Cross multiply
    276,292.43x = 414,437.28 × 238,738.22
  4. Step 4: Simplify right side
    276,292.43x = 98,942,017,115.53
  5. Step 5: Solve for x
    x = 98,942,017,115.53/276,292.43
  6. Step 6: Final answer
    x = 358,106.15

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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.