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Finding the Fourth Proportional to 411,206.20, 616,233.30 and 327,110.20

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Solution

The fourth proportional to 411,206.20, 616,233.30 and 327,110.20 is: 490,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,206.20 : 616,233.30 = 327,110.20 : x
  2. Step 2: Convert to fraction form
    411,206.20/616,233.30 = 327,110.20/x
  3. Step 3: Cross multiply
    411,206.20x = 616,233.30 × 327,110.20
  4. Step 4: Simplify right side
    411,206.20x = 201,576,198,009.66
  5. Step 5: Solve for x
    x = 201,576,198,009.66/411,206.20
  6. Step 6: Final answer
    x = 490,207.10

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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.