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Finding the Fourth Proportional to 419,121.33, 578,371.38 and 237,822.45

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Solution

The fourth proportional to 419,121.33, 578,371.38 and 237,822.45 is: 328,185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,121.33 : 578,371.38 = 237,822.45 : x
  2. Step 2: Convert to fraction form
    419,121.33/578,371.38 = 237,822.45/x
  3. Step 3: Cross multiply
    419,121.33x = 578,371.38 × 237,822.45
  4. Step 4: Simplify right side
    419,121.33x = 137,549,698,601.48
  5. Step 5: Solve for x
    x = 137,549,698,601.48/419,121.33
  6. Step 6: Final answer
    x = 328,185.87

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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.