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Finding the Fourth Proportional to 340,146.68, 469,371.92 and 196,916.40

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Solution

The fourth proportional to 340,146.68, 469,371.92 and 196,916.40 is: 271,726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,146.68 : 469,371.92 = 196,916.40 : x
  2. Step 2: Convert to fraction form
    340,146.68/469,371.92 = 196,916.40/x
  3. Step 3: Cross multiply
    340,146.68x = 469,371.92 × 196,916.40
  4. Step 4: Simplify right side
    340,146.68x = 92,427,027,762.91
  5. Step 5: Solve for x
    x = 92,427,027,762.91/340,146.68
  6. Step 6: Final answer
    x = 271,726.98

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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.