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Finding the Fourth Proportional to 412,963.23, 619,313.62 and 280,693.47

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Solution

The fourth proportional to 412,963.23, 619,313.62 and 280,693.47 is: 420,951.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,963.23 : 619,313.62 = 280,693.47 : x
  2. Step 2: Convert to fraction form
    412,963.23/619,313.62 = 280,693.47/x
  3. Step 3: Cross multiply
    412,963.23x = 619,313.62 × 280,693.47
  4. Step 4: Simplify right side
    412,963.23x = 173,837,289,016.06
  5. Step 5: Solve for x
    x = 173,837,289,016.06/412,963.23
  6. Step 6: Final answer
    x = 420,951.01

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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.