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Finding the Fourth Proportional to 431,868.89, 595,977.42 and 238,288.66

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Solution

The fourth proportional to 431,868.89, 595,977.42 and 238,288.66 is: 328,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,868.89 : 595,977.42 = 238,288.66 : x
  2. Step 2: Convert to fraction form
    431,868.89/595,977.42 = 238,288.66/x
  3. Step 3: Cross multiply
    431,868.89x = 595,977.42 × 238,288.66
  4. Step 4: Simplify right side
    431,868.89x = 142,014,661,211.70
  5. Step 5: Solve for x
    x = 142,014,661,211.70/431,868.89
  6. Step 6: Final answer
    x = 328,837.44

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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.