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Finding the Fourth Proportional to 296,271, 444,406.50 and 74,655

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Solution

The fourth proportional to 296,271, 444,406.50 and 74,655 is: 111,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,271 : 444,406.50 = 74,655 : x
  2. Step 2: Convert to fraction form
    296,271/444,406.50 = 74,655/x
  3. Step 3: Cross multiply
    296,271x = 444,406.50 × 74,655
  4. Step 4: Simplify right side
    296,271x = 33,177,167,257.50
  5. Step 5: Solve for x
    x = 33,177,167,257.50/296,271
  6. Step 6: Final answer
    x = 111,982.50

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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.