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Finding the Fourth Proportional to 456,704.87, 685,122.91 and 141,186.38

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Solution

The fourth proportional to 456,704.87, 685,122.91 and 141,186.38 is: 211,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,704.87 : 685,122.91 = 141,186.38 : x
  2. Step 2: Convert to fraction form
    456,704.87/685,122.91 = 141,186.38/x
  3. Step 3: Cross multiply
    456,704.87x = 685,122.91 × 141,186.38
  4. Step 4: Simplify right side
    456,704.87x = 96,730,019,739.39
  5. Step 5: Solve for x
    x = 96,730,019,739.39/456,704.87
  6. Step 6: Final answer
    x = 211,799.85

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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.