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Finding the Fourth Proportional to 292,906.60, 439,431.90 and 82,541.80

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Solution

The fourth proportional to 292,906.60, 439,431.90 and 82,541.80 is: 123,832.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,906.60 : 439,431.90 = 82,541.80 : x
  2. Step 2: Convert to fraction form
    292,906.60/439,431.90 = 82,541.80/x
  3. Step 3: Cross multiply
    292,906.60x = 439,431.90 × 82,541.80
  4. Step 4: Simplify right side
    292,906.60x = 36,271,500,003.42
  5. Step 5: Solve for x
    x = 36,271,500,003.42/292,906.60
  6. Step 6: Final answer
    x = 123,832.99

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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.