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Finding the Fourth Proportional to 382,338.09, 573,576.39 and 157,573.42

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Solution

The fourth proportional to 382,338.09, 573,576.39 and 157,573.42 is: 236,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,338.09 : 573,576.39 = 157,573.42 : x
  2. Step 2: Convert to fraction form
    382,338.09/573,576.39 = 157,573.42/x
  3. Step 3: Cross multiply
    382,338.09x = 573,576.39 × 157,573.42
  4. Step 4: Simplify right side
    382,338.09x = 90,380,391,969.61
  5. Step 5: Solve for x
    x = 90,380,391,969.61/382,338.09
  6. Step 6: Final answer
    x = 236,388.67

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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.