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Finding the Fourth Proportional to 411,092.60, 616,638.90 and 269,166.20

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Solution

The fourth proportional to 411,092.60, 616,638.90 and 269,166.20 is: 403,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,092.60 : 616,638.90 = 269,166.20 : x
  2. Step 2: Convert to fraction form
    411,092.60/616,638.90 = 269,166.20/x
  3. Step 3: Cross multiply
    411,092.60x = 616,638.90 × 269,166.20
  4. Step 4: Simplify right side
    411,092.60x = 165,978,349,485.18
  5. Step 5: Solve for x
    x = 165,978,349,485.18/411,092.60
  6. Step 6: Final answer
    x = 403,749.30

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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.