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Finding the Fourth Proportional to 419,540.01, 578,969.19 and 238,255.71

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Solution

The fourth proportional to 419,540.01, 578,969.19 and 238,255.71 is: 328,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,540.01 : 578,969.19 = 238,255.71 : x
  2. Step 2: Convert to fraction form
    419,540.01/578,969.19 = 238,255.71/x
  3. Step 3: Cross multiply
    419,540.01x = 578,969.19 × 238,255.71
  4. Step 4: Simplify right side
    419,540.01x = 137,942,715,431.58
  5. Step 5: Solve for x
    x = 137,942,715,431.58/419,540.01
  6. Step 6: Final answer
    x = 328,795.14

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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.