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Finding the Fourth Proportional to 341,194.55, 470,696.22 and 197,871.53

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Solution

The fourth proportional to 341,194.55, 470,696.22 and 197,871.53 is: 272,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,194.55 : 470,696.22 = 197,871.53 : x
  2. Step 2: Convert to fraction form
    341,194.55/470,696.22 = 197,871.53/x
  3. Step 3: Cross multiply
    341,194.55x = 470,696.22 × 197,871.53
  4. Step 4: Simplify right side
    341,194.55x = 93,137,378,863.14
  5. Step 5: Solve for x
    x = 93,137,378,863.14/341,194.55
  6. Step 6: Final answer
    x = 272,974.41

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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.