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Finding the Fourth Proportional to 444,742.96, 667,239.12 and 178,690.24

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Solution

The fourth proportional to 444,742.96, 667,239.12 and 178,690.24 is: 268,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,742.96 : 667,239.12 = 178,690.24 : x
  2. Step 2: Convert to fraction form
    444,742.96/667,239.12 = 178,690.24/x
  3. Step 3: Cross multiply
    444,742.96x = 667,239.12 × 178,690.24
  4. Step 4: Simplify right side
    444,742.96x = 119,229,118,490.19
  5. Step 5: Solve for x
    x = 119,229,118,490.19/444,742.96
  6. Step 6: Final answer
    x = 268,085.45

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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.