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Finding the Fourth Proportional to 397,186.88, 595,780.31 and 116,704.13

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Solution

The fourth proportional to 397,186.88, 595,780.31 and 116,704.13 is: 175,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,186.88 : 595,780.31 = 116,704.13 : x
  2. Step 2: Convert to fraction form
    397,186.88/595,780.31 = 116,704.13/x
  3. Step 3: Cross multiply
    397,186.88x = 595,780.31 × 116,704.13
  4. Step 4: Simplify right side
    397,186.88x = 69,530,020,062.54
  5. Step 5: Solve for x
    x = 69,530,020,062.54/397,186.88
  6. Step 6: Final answer
    x = 175,056.19

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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.