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Finding the Fourth Proportional to 328,727.50, 453,644.34 and 177,824.50

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Solution

The fourth proportional to 328,727.50, 453,644.34 and 177,824.50 is: 245,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,727.50 : 453,644.34 = 177,824.50 : x
  2. Step 2: Convert to fraction form
    328,727.50/453,644.34 = 177,824.50/x
  3. Step 3: Cross multiply
    328,727.50x = 453,644.34 × 177,824.50
  4. Step 4: Simplify right side
    328,727.50x = 80,669,077,938.33
  5. Step 5: Solve for x
    x = 80,669,077,938.33/328,727.50
  6. Step 6: Final answer
    x = 245,398.02

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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.