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Finding the Fourth Proportional to 414,830.43, 622,616.58 and 212,564.52

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Solution

The fourth proportional to 414,830.43, 622,616.58 and 212,564.52 is: 319,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,830.43 : 622,616.58 = 212,564.52 : x
  2. Step 2: Convert to fraction form
    414,830.43/622,616.58 = 212,564.52/x
  3. Step 3: Cross multiply
    414,830.43x = 622,616.58 × 212,564.52
  4. Step 4: Simplify right side
    414,830.43x = 132,346,194,471.74
  5. Step 5: Solve for x
    x = 132,346,194,471.74/414,830.43
  6. Step 6: Final answer
    x = 319,036.85

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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.