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Finding the Fourth Proportional to 471,509.41, 707,257.18 and 116,523.42

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Solution

The fourth proportional to 471,509.41, 707,257.18 and 116,523.42 is: 174,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,509.41 : 707,257.18 = 116,523.42 : x
  2. Step 2: Convert to fraction form
    471,509.41/707,257.18 = 116,523.42/x
  3. Step 3: Cross multiply
    471,509.41x = 707,257.18 × 116,523.42
  4. Step 4: Simplify right side
    471,509.41x = 82,412,025,433.16
  5. Step 5: Solve for x
    x = 82,412,025,433.16/471,509.41
  6. Step 6: Final answer
    x = 174,783.42

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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.