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Finding the Fourth Proportional to 298,736, 412,281.60 and 164,625.92

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Solution

The fourth proportional to 298,736, 412,281.60 and 164,625.92 is: 227,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,736 : 412,281.60 = 164,625.92 : x
  2. Step 2: Convert to fraction form
    298,736/412,281.60 = 164,625.92/x
  3. Step 3: Cross multiply
    298,736x = 412,281.60 × 164,625.92
  4. Step 4: Simplify right side
    298,736x = 67,872,237,699.07
  5. Step 5: Solve for x
    x = 67,872,237,699.07/298,736
  6. Step 6: Final answer
    x = 227,198.05

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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.