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Finding the Fourth Proportional to 447,605.25, 671,509.38 and 148,085.34

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Solution

The fourth proportional to 447,605.25, 671,509.38 and 148,085.34 is: 222,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,605.25 : 671,509.38 = 148,085.34 : x
  2. Step 2: Convert to fraction form
    447,605.25/671,509.38 = 148,085.34/x
  3. Step 3: Cross multiply
    447,605.25x = 671,509.38 × 148,085.34
  4. Step 4: Simplify right side
    447,605.25x = 99,440,694,850.49
  5. Step 5: Solve for x
    x = 99,440,694,850.49/447,605.25
  6. Step 6: Final answer
    x = 222,161.59

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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.