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Finding the Fourth Proportional to 298,625.63, 412,103.39 and 164,489.63

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Solution

The fourth proportional to 298,625.63, 412,103.39 and 164,489.63 is: 226,995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,625.63 : 412,103.39 = 164,489.63 : x
  2. Step 2: Convert to fraction form
    298,625.63/412,103.39 = 164,489.63/x
  3. Step 3: Cross multiply
    298,625.63x = 412,103.39 × 164,489.63
  4. Step 4: Simplify right side
    298,625.63x = 67,786,731,259.88
  5. Step 5: Solve for x
    x = 67,786,731,259.88/298,625.63
  6. Step 6: Final answer
    x = 226,995.69

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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.