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Finding the Fourth Proportional to 298,671.42, 412,166.38 and 164,535.42

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Solution

The fourth proportional to 298,671.42, 412,166.38 and 164,535.42 is: 227,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,671.42 : 412,166.38 = 164,535.42 : x
  2. Step 2: Convert to fraction form
    298,671.42/412,166.38 = 164,535.42/x
  3. Step 3: Cross multiply
    298,671.42x = 412,166.38 × 164,535.42
  4. Step 4: Simplify right side
    298,671.42x = 67,815,968,443.18
  5. Step 5: Solve for x
    x = 67,815,968,443.18/298,671.42
  6. Step 6: Final answer
    x = 227,058.78

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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.