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Finding the Fourth Proportional to 447,234.32, 670,968.12 and 166,754

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Solution

The fourth proportional to 447,234.32, 670,968.12 and 166,754 is: 250,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,234.32 : 670,968.12 = 166,754 : x
  2. Step 2: Convert to fraction form
    447,234.32/670,968.12 = 166,754/x
  3. Step 3: Cross multiply
    447,234.32x = 670,968.12 × 166,754
  4. Step 4: Simplify right side
    447,234.32x = 111,886,617,882.48
  5. Step 5: Solve for x
    x = 111,886,617,882.48/447,234.32
  6. Step 6: Final answer
    x = 250,174.49

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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.