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Finding the Fourth Proportional to 276,532.86, 414,960.28 and 116,598.78

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Solution

The fourth proportional to 276,532.86, 414,960.28 and 116,598.78 is: 174,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,532.86 : 414,960.28 = 116,598.78 : x
  2. Step 2: Convert to fraction form
    276,532.86/414,960.28 = 116,598.78/x
  3. Step 3: Cross multiply
    276,532.86x = 414,960.28 × 116,598.78
  4. Step 4: Simplify right side
    276,532.86x = 48,383,862,396.46
  5. Step 5: Solve for x
    x = 48,383,862,396.46/276,532.86
  6. Step 6: Final answer
    x = 174,966.05

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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.