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Finding the Fourth Proportional to 321,898.59, 444,240.82 and 178,658.64

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Solution

The fourth proportional to 321,898.59, 444,240.82 and 178,658.64 is: 246,560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,898.59 : 444,240.82 = 178,658.64 : x
  2. Step 2: Convert to fraction form
    321,898.59/444,240.82 = 178,658.64/x
  3. Step 3: Cross multiply
    321,898.59x = 444,240.82 × 178,658.64
  4. Step 4: Simplify right side
    321,898.59x = 79,367,460,733.68
  5. Step 5: Solve for x
    x = 79,367,460,733.68/321,898.59
  6. Step 6: Final answer
    x = 246,560.45

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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.