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Finding the Fourth Proportional to 298,033.22, 411,344.25 and 170,794.10

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Solution

The fourth proportional to 298,033.22, 411,344.25 and 170,794.10 is: 235,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,033.22 : 411,344.25 = 170,794.10 : x
  2. Step 2: Convert to fraction form
    298,033.22/411,344.25 = 170,794.10/x
  3. Step 3: Cross multiply
    298,033.22x = 411,344.25 × 170,794.10
  4. Step 4: Simplify right side
    298,033.22x = 70,255,170,968.93
  5. Step 5: Solve for x
    x = 70,255,170,968.93/298,033.22
  6. Step 6: Final answer
    x = 235,729.33

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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.