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Finding the Fourth Proportional to 411,328.60, 616,301.70 and 200,512.60

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Solution

The fourth proportional to 411,328.60, 616,301.70 and 200,512.60 is: 300,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,328.60 : 616,301.70 = 200,512.60 : x
  2. Step 2: Convert to fraction form
    411,328.60/616,301.70 = 200,512.60/x
  3. Step 3: Cross multiply
    411,328.60x = 616,301.70 × 200,512.60
  4. Step 4: Simplify right side
    411,328.60x = 123,576,256,251.42
  5. Step 5: Solve for x
    x = 123,576,256,251.42/411,328.60
  6. Step 6: Final answer
    x = 300,431.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.