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Finding the Fourth Proportional to 463,057.08, 694,608.91 and 147,538.59

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Solution

The fourth proportional to 463,057.08, 694,608.91 and 147,538.59 is: 221,315.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,057.08 : 694,608.91 = 147,538.59 : x
  2. Step 2: Convert to fraction form
    463,057.08/694,608.91 = 147,538.59/x
  3. Step 3: Cross multiply
    463,057.08x = 694,608.91 × 147,538.59
  4. Step 4: Simplify right side
    463,057.08x = 102,481,619,182.84
  5. Step 5: Solve for x
    x = 102,481,619,182.84/463,057.08
  6. Step 6: Final answer
    x = 221,315.31

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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.