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Finding the Fourth Proportional to 327,685.86, 452,280.24 and 214,443

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Solution

The fourth proportional to 327,685.86, 452,280.24 and 214,443 is: 295,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,685.86 : 452,280.24 = 214,443 : x
  2. Step 2: Convert to fraction form
    327,685.86/452,280.24 = 214,443/x
  3. Step 3: Cross multiply
    327,685.86x = 452,280.24 × 214,443
  4. Step 4: Simplify right side
    327,685.86x = 96,988,331,506.32
  5. Step 5: Solve for x
    x = 96,988,331,506.32/327,685.86
  6. Step 6: Final answer
    x = 295,979.61

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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.