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Finding the Fourth Proportional to 296,391.37, 444,670.31 and 119,022.94

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Solution

The fourth proportional to 296,391.37, 444,670.31 and 119,022.94 is: 178,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,391.37 : 444,670.31 = 119,022.94 : x
  2. Step 2: Convert to fraction form
    296,391.37/444,670.31 = 119,022.94/x
  3. Step 3: Cross multiply
    296,391.37x = 444,670.31 × 119,022.94
  4. Step 4: Simplify right side
    296,391.37x = 52,925,967,626.91
  5. Step 5: Solve for x
    x = 52,925,967,626.91/296,391.37
  6. Step 6: Final answer
    x = 178,567.84

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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.