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Finding the Fourth Proportional to 432,542.57, 596,906.78 and 238,950.34

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Solution

The fourth proportional to 432,542.57, 596,906.78 and 238,950.34 is: 329,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,542.57 : 596,906.78 = 238,950.34 : x
  2. Step 2: Convert to fraction form
    432,542.57/596,906.78 = 238,950.34/x
  3. Step 3: Cross multiply
    432,542.57x = 596,906.78 × 238,950.34
  4. Step 4: Simplify right side
    432,542.57x = 142,631,077,022.41
  5. Step 5: Solve for x
    x = 142,631,077,022.41/432,542.57
  6. Step 6: Final answer
    x = 329,750.38

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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.