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Finding the Fourth Proportional to 298,284.44, 411,632.59 and 164,148.44

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Solution

The fourth proportional to 298,284.44, 411,632.59 and 164,148.44 is: 226,524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,284.44 : 411,632.59 = 164,148.44 : x
  2. Step 2: Convert to fraction form
    298,284.44/411,632.59 = 164,148.44/x
  3. Step 3: Cross multiply
    298,284.44x = 411,632.59 × 164,148.44
  4. Step 4: Simplify right side
    298,284.44x = 67,568,847,501.66
  5. Step 5: Solve for x
    x = 67,568,847,501.66/298,284.44
  6. Step 6: Final answer
    x = 226,524.88

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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.