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Finding the Fourth Proportional to 298,604.25, 412,073.87 and 164,468.25

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Solution

The fourth proportional to 298,604.25, 412,073.87 and 164,468.25 is: 226,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,604.25 : 412,073.87 = 164,468.25 : x
  2. Step 2: Convert to fraction form
    298,604.25/412,073.87 = 164,468.25/x
  3. Step 3: Cross multiply
    298,604.25x = 412,073.87 × 164,468.25
  4. Step 4: Simplify right side
    298,604.25x = 67,773,067,447.29
  5. Step 5: Solve for x
    x = 67,773,067,447.29/298,604.25
  6. Step 6: Final answer
    x = 226,966.19

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1.5x scale

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.