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Finding the Fourth Proportional to 298,796.97, 412,329.35 and 162,828.15

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Solution

The fourth proportional to 298,796.97, 412,329.35 and 162,828.15 is: 224,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,796.97 : 412,329.35 = 162,828.15 : x
  2. Step 2: Convert to fraction form
    298,796.97/412,329.35 = 162,828.15/x
  3. Step 3: Cross multiply
    298,796.97x = 412,329.35 × 162,828.15
  4. Step 4: Simplify right side
    298,796.97x = 67,138,825,251.20
  5. Step 5: Solve for x
    x = 67,138,825,251.20/298,796.97
  6. Step 6: Final answer
    x = 224,697.14

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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.