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Finding the Fourth Proportional to 298,284.38, 411,632.51 and 164,148.38

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Solution

The fourth proportional to 298,284.38, 411,632.51 and 164,148.38 is: 226,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,284.38 : 411,632.51 = 164,148.38 : x
  2. Step 2: Convert to fraction form
    298,284.38/411,632.51 = 164,148.38/x
  3. Step 3: Cross multiply
    298,284.38x = 411,632.51 × 164,148.38
  4. Step 4: Simplify right side
    298,284.38x = 67,568,806,792.93
  5. Step 5: Solve for x
    x = 67,568,806,792.93/298,284.38
  6. Step 6: Final answer
    x = 226,524.79

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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.