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Finding the Fourth Proportional to 408,111.69, 611,543.84 and 171,324.39

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Solution

The fourth proportional to 408,111.69, 611,543.84 and 171,324.39 is: 256,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,111.69 : 611,543.84 = 171,324.39 : x
  2. Step 2: Convert to fraction form
    408,111.69/611,543.84 = 171,324.39/x
  3. Step 3: Cross multiply
    408,111.69x = 611,543.84 × 171,324.39
  4. Step 4: Simplify right side
    408,111.69x = 104,772,374,489.64
  5. Step 5: Solve for x
    x = 104,772,374,489.64/408,111.69
  6. Step 6: Final answer
    x = 256,724.76

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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.