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Finding the Fourth Proportional to 502,538.23, 693,664.37 and 321,737.11

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Solution

The fourth proportional to 502,538.23, 693,664.37 and 321,737.11 is: 444,100.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,538.23 : 693,664.37 = 321,737.11 : x
  2. Step 2: Convert to fraction form
    502,538.23/693,664.37 = 321,737.11/x
  3. Step 3: Cross multiply
    502,538.23x = 693,664.37 × 321,737.11
  4. Step 4: Simplify right side
    502,538.23x = 223,177,569,713.77
  5. Step 5: Solve for x
    x = 223,177,569,713.77/502,538.23
  6. Step 6: Final answer
    x = 444,100.68

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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.