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Finding the Fourth Proportional to 298,594.92, 412,052.70 and 162,625.92

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Solution

The fourth proportional to 298,594.92, 412,052.70 and 162,625.92 is: 224,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,594.92 : 412,052.70 = 162,625.92 : x
  2. Step 2: Convert to fraction form
    298,594.92/412,052.70 = 162,625.92/x
  3. Step 3: Cross multiply
    298,594.92x = 412,052.70 × 162,625.92
  4. Step 4: Simplify right side
    298,594.92x = 67,010,449,425.98
  5. Step 5: Solve for x
    x = 67,010,449,425.98/298,594.92
  6. Step 6: Final answer
    x = 224,419.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.