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Finding the Fourth Proportional to 298,283.16, 411,630.83 and 164,147.16

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Solution

The fourth proportional to 298,283.16, 411,630.83 and 164,147.16 is: 226,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,283.16 : 411,630.83 = 164,147.16 : x
  2. Step 2: Convert to fraction form
    298,283.16/411,630.83 = 164,147.16/x
  3. Step 3: Cross multiply
    298,283.16x = 411,630.83 × 164,147.16
  4. Step 4: Simplify right side
    298,283.16x = 67,568,031,585.10
  5. Step 5: Solve for x
    x = 67,568,031,585.10/298,283.16
  6. Step 6: Final answer
    x = 226,523.12

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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.