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Finding the Fourth Proportional to 296,391.80, 444,670.94 and 119,023.36

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Solution

The fourth proportional to 296,391.80, 444,670.94 and 119,023.36 is: 178,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,391.80 : 444,670.94 = 119,023.36 : x
  2. Step 2: Convert to fraction form
    296,391.80/444,670.94 = 119,023.36/x
  3. Step 3: Cross multiply
    296,391.80x = 444,670.94 × 119,023.36
  4. Step 4: Simplify right side
    296,391.80x = 52,926,229,373.16
  5. Step 5: Solve for x
    x = 52,926,229,373.16/296,391.80
  6. Step 6: Final answer
    x = 178,568.47

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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.