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Finding the Fourth Proportional to 392,581.58, 541,762.67 and 213,733.58

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Solution

The fourth proportional to 392,581.58, 541,762.67 and 213,733.58 is: 294,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,581.58 : 541,762.67 = 213,733.58 : x
  2. Step 2: Convert to fraction form
    392,581.58/541,762.67 = 213,733.58/x
  3. Step 3: Cross multiply
    392,581.58x = 541,762.67 × 213,733.58
  4. Step 4: Simplify right side
    392,581.58x = 115,792,874,969.46
  5. Step 5: Solve for x
    x = 115,792,874,969.46/392,581.58
  6. Step 6: Final answer
    x = 294,952.39

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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.