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Finding the Fourth Proportional to 393,232.09, 589,846.29 and 123,379.98

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Solution

The fourth proportional to 393,232.09, 589,846.29 and 123,379.98 is: 185,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,232.09 : 589,846.29 = 123,379.98 : x
  2. Step 2: Convert to fraction form
    393,232.09/589,846.29 = 123,379.98/x
  3. Step 3: Cross multiply
    393,232.09x = 589,846.29 × 123,379.98
  4. Step 4: Simplify right side
    393,232.09x = 72,775,223,463.27
  5. Step 5: Solve for x
    x = 72,775,223,463.27/393,232.09
  6. Step 6: Final answer
    x = 185,069.39

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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.