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Finding the Fourth Proportional to 298,284.19, 411,632.25 and 164,148.19

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Solution

The fourth proportional to 298,284.19, 411,632.25 and 164,148.19 is: 226,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,284.19 : 411,632.25 = 164,148.19 : x
  2. Step 2: Convert to fraction form
    298,284.19/411,632.25 = 164,148.19/x
  3. Step 3: Cross multiply
    298,284.19x = 411,632.25 × 164,148.19
  4. Step 4: Simplify right side
    298,284.19x = 67,568,687,138.49
  5. Step 5: Solve for x
    x = 67,568,687,138.49/298,284.19
  6. Step 6: Final answer
    x = 226,524.54

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Half scale
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Double scale
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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.