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Finding the Fourth Proportional to 276,911.20, 414,783.60 and 224,423.20

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Solution

The fourth proportional to 276,911.20, 414,783.60 and 224,423.20 is: 336,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,911.20 : 414,783.60 = 224,423.20 : x
  2. Step 2: Convert to fraction form
    276,911.20/414,783.60 = 224,423.20/x
  3. Step 3: Cross multiply
    276,911.20x = 414,783.60 × 224,423.20
  4. Step 4: Simplify right side
    276,911.20x = 93,087,062,819.52
  5. Step 5: Solve for x
    x = 93,087,062,819.52/276,911.20
  6. Step 6: Final answer
    x = 336,162.14

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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.