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Finding the Fourth Proportional to 276,851.20, 414,693.60 and 224,363.20

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Solution

The fourth proportional to 276,851.20, 414,693.60 and 224,363.20 is: 336,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,851.20 : 414,693.60 = 224,363.20 : x
  2. Step 2: Convert to fraction form
    276,851.20/414,693.60 = 224,363.20/x
  3. Step 3: Cross multiply
    276,851.20x = 414,693.60 × 224,363.20
  4. Step 4: Simplify right side
    276,851.20x = 93,041,983,115.52
  5. Step 5: Solve for x
    x = 93,041,983,115.52/276,851.20
  6. Step 6: Final answer
    x = 336,072.17

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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.