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Finding the Fourth Proportional to 412,176.69, 618,494.67 and 222,632.91

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Solution

The fourth proportional to 412,176.69, 618,494.67 and 222,632.91 is: 334,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,176.69 : 618,494.67 = 222,632.91 : x
  2. Step 2: Convert to fraction form
    412,176.69/618,494.67 = 222,632.91/x
  3. Step 3: Cross multiply
    412,176.69x = 618,494.67 × 222,632.91
  4. Step 4: Simplify right side
    412,176.69x = 137,697,268,201.59
  5. Step 5: Solve for x
    x = 137,697,268,201.59/412,176.69
  6. Step 6: Final answer
    x = 334,073.40

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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.