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Finding the Fourth Proportional to 340,045.82, 469,255.65 and 196,802.99

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Solution

The fourth proportional to 340,045.82, 469,255.65 and 196,802.99 is: 271,583.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,045.82 : 469,255.65 = 196,802.99 : x
  2. Step 2: Convert to fraction form
    340,045.82/469,255.65 = 196,802.99/x
  3. Step 3: Cross multiply
    340,045.82x = 469,255.65 × 196,802.99
  4. Step 4: Simplify right side
    340,045.82x = 92,350,914,994.39
  5. Step 5: Solve for x
    x = 92,350,914,994.39/340,045.82
  6. Step 6: Final answer
    x = 271,583.74

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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.