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Finding the Fourth Proportional to 298,636.75, 412,118.75 and 164,500.75

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Solution

The fourth proportional to 298,636.75, 412,118.75 and 164,500.75 is: 227,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,636.75 : 412,118.75 = 164,500.75 : x
  2. Step 2: Convert to fraction form
    298,636.75/412,118.75 = 164,500.75/x
  3. Step 3: Cross multiply
    298,636.75x = 412,118.75 × 164,500.75
  4. Step 4: Simplify right side
    298,636.75x = 67,793,843,464.06
  5. Step 5: Solve for x
    x = 67,793,843,464.06/298,636.75
  6. Step 6: Final answer
    x = 227,011.05

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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.