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Finding the Fourth Proportional to 296,731.44, 445,117.50 and 119,238.17

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Solution

The fourth proportional to 296,731.44, 445,117.50 and 119,238.17 is: 178,865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,731.44 : 445,117.50 = 119,238.17 : x
  2. Step 2: Convert to fraction form
    296,731.44/445,117.50 = 119,238.17/x
  3. Step 3: Cross multiply
    296,731.44x = 445,117.50 × 119,238.17
  4. Step 4: Simplify right side
    296,731.44x = 53,074,993,909.39
  5. Step 5: Solve for x
    x = 53,074,993,909.39/296,731.44
  6. Step 6: Final answer
    x = 178,865.42

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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.