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Finding the Fourth Proportional to 392,614.08, 541,669.40 and 256,727.54

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Solution

The fourth proportional to 392,614.08, 541,669.40 and 256,727.54 is: 354,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,614.08 : 541,669.40 = 256,727.54 : x
  2. Step 2: Convert to fraction form
    392,614.08/541,669.40 = 256,727.54/x
  3. Step 3: Cross multiply
    392,614.08x = 541,669.40 × 256,727.54
  4. Step 4: Simplify right side
    392,614.08x = 139,061,452,555.28
  5. Step 5: Solve for x
    x = 139,061,452,555.28/392,614.08
  6. Step 6: Final answer
    x = 354,193.75

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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.