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Finding the Fourth Proportional to 296,347.94, 444,072.88 and 196,149.16

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Solution

The fourth proportional to 296,347.94, 444,072.88 and 196,149.16 is: 293,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,347.94 : 444,072.88 = 196,149.16 : x
  2. Step 2: Convert to fraction form
    296,347.94/444,072.88 = 196,149.16/x
  3. Step 3: Cross multiply
    296,347.94x = 444,072.88 × 196,149.16
  4. Step 4: Simplify right side
    296,347.94x = 87,104,522,390.78
  5. Step 5: Solve for x
    x = 87,104,522,390.78/296,347.94
  6. Step 6: Final answer
    x = 293,926.53

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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.