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Finding the Fourth Proportional to 329,359.26, 454,348.47 and 208,296.54

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Solution

The fourth proportional to 329,359.26, 454,348.47 and 208,296.54 is: 287,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,359.26 : 454,348.47 = 208,296.54 : x
  2. Step 2: Convert to fraction form
    329,359.26/454,348.47 = 208,296.54/x
  3. Step 3: Cross multiply
    329,359.26x = 454,348.47 × 208,296.54
  4. Step 4: Simplify right side
    329,359.26x = 94,639,214,255.29
  5. Step 5: Solve for x
    x = 94,639,214,255.29/329,359.26
  6. Step 6: Final answer
    x = 287,343.41

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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.