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Finding the Fourth Proportional to 321,825.34, 444,123.84 and 178,594.66

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Solution

The fourth proportional to 321,825.34, 444,123.84 and 178,594.66 is: 246,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,825.34 : 444,123.84 = 178,594.66 : x
  2. Step 2: Convert to fraction form
    321,825.34/444,123.84 = 178,594.66/x
  3. Step 3: Cross multiply
    321,825.34x = 444,123.84 × 178,594.66
  4. Step 4: Simplify right side
    321,825.34x = 79,318,146,202.69
  5. Step 5: Solve for x
    x = 79,318,146,202.69/321,825.34
  6. Step 6: Final answer
    x = 246,463.33

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1.5x scale

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.