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Finding the Fourth Proportional to 441,157.13, 661,834.10 and 160,674.38

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Solution

The fourth proportional to 441,157.13, 661,834.10 and 160,674.38 is: 241,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,157.13 : 661,834.10 = 160,674.38 : x
  2. Step 2: Convert to fraction form
    441,157.13/661,834.10 = 160,674.38/x
  3. Step 3: Cross multiply
    441,157.13x = 661,834.10 × 160,674.38
  4. Step 4: Simplify right side
    441,157.13x = 106,339,780,772.87
  5. Step 5: Solve for x
    x = 106,339,780,772.87/441,157.13
  6. Step 6: Final answer
    x = 241,047.41

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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.