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Finding the Fourth Proportional to 471,049.25, 706,467.74 and 134,082.43

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Solution

The fourth proportional to 471,049.25, 706,467.74 and 134,082.43 is: 201,093.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,049.25 : 706,467.74 = 134,082.43 : x
  2. Step 2: Convert to fraction form
    471,049.25/706,467.74 = 134,082.43/x
  3. Step 3: Cross multiply
    471,049.25x = 706,467.74 × 134,082.43
  4. Step 4: Simplify right side
    471,049.25x = 94,724,908,859.23
  5. Step 5: Solve for x
    x = 94,724,908,859.23/471,049.25
  6. Step 6: Final answer
    x = 201,093.43

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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.