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Finding the Fourth Proportional to 321,793.68, 444,075.28 and 178,576.77

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Solution

The fourth proportional to 321,793.68, 444,075.28 and 178,576.77 is: 246,435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,793.68 : 444,075.28 = 178,576.77 : x
  2. Step 2: Convert to fraction form
    321,793.68/444,075.28 = 178,576.77/x
  3. Step 3: Cross multiply
    321,793.68x = 444,075.28 × 178,576.77
  4. Step 4: Simplify right side
    321,793.68x = 79,301,530,195.11
  5. Step 5: Solve for x
    x = 79,301,530,195.11/321,793.68
  6. Step 6: Final answer
    x = 246,435.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.