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Finding the Fourth Proportional to 298,759.84, 412,292.88 and 164,620.96

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Solution

The fourth proportional to 298,759.84, 412,292.88 and 164,620.96 is: 227,179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,759.84 : 412,292.88 = 164,620.96 : x
  2. Step 2: Convert to fraction form
    298,759.84/412,292.88 = 164,620.96/x
  3. Step 3: Cross multiply
    298,759.84x = 412,292.88 × 164,620.96
  4. Step 4: Simplify right side
    298,759.84x = 67,872,049,706.76
  5. Step 5: Solve for x
    x = 67,872,049,706.76/298,759.84
  6. Step 6: Final answer
    x = 227,179.29

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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.