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Finding the Fourth Proportional to 441,132, 661,474.44 and 188,373.12

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Solution

The fourth proportional to 441,132, 661,474.44 and 188,373.12 is: 282,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,132 : 661,474.44 = 188,373.12 : x
  2. Step 2: Convert to fraction form
    441,132/661,474.44 = 188,373.12/x
  3. Step 3: Cross multiply
    441,132x = 661,474.44 × 188,373.12
  4. Step 4: Simplify right side
    441,132x = 124,604,004,063.05
  5. Step 5: Solve for x
    x = 124,604,004,063.05/441,132
  6. Step 6: Final answer
    x = 282,464.21

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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.