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Finding the Fourth Proportional to 296,008.72, 408,219.39 and 193,997.02

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Solution

The fourth proportional to 296,008.72, 408,219.39 and 193,997.02 is: 267,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,008.72 : 408,219.39 = 193,997.02 : x
  2. Step 2: Convert to fraction form
    296,008.72/408,219.39 = 193,997.02/x
  3. Step 3: Cross multiply
    296,008.72x = 408,219.39 × 193,997.02
  4. Step 4: Simplify right side
    296,008.72x = 79,193,345,166.22
  5. Step 5: Solve for x
    x = 79,193,345,166.22/296,008.72
  6. Step 6: Final answer
    x = 267,537.20

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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.