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Finding the Fourth Proportional to 340,212.09, 469,465.14 and 196,981.20

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Solution

The fourth proportional to 340,212.09, 469,465.14 and 196,981.20 is: 271,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,212.09 : 469,465.14 = 196,981.20 : x
  2. Step 2: Convert to fraction form
    340,212.09/469,465.14 = 196,981.20/x
  3. Step 3: Cross multiply
    340,212.09x = 469,465.14 × 196,981.20
  4. Step 4: Simplify right side
    340,212.09x = 92,475,806,635.37
  5. Step 5: Solve for x
    x = 92,475,806,635.37/340,212.09
  6. Step 6: Final answer
    x = 271,818.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.