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Finding the Fourth Proportional to 412,594.44, 618,743.94 and 223,194.84

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Solution

The fourth proportional to 412,594.44, 618,743.94 and 223,194.84 is: 334,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,594.44 : 618,743.94 = 223,194.84 : x
  2. Step 2: Convert to fraction form
    412,594.44/618,743.94 = 223,194.84/x
  3. Step 3: Cross multiply
    412,594.44x = 618,743.94 × 223,194.84
  4. Step 4: Simplify right side
    412,594.44x = 138,100,454,689.27
  5. Step 5: Solve for x
    x = 138,100,454,689.27/412,594.44
  6. Step 6: Final answer
    x = 334,712.35

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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.