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Finding the Fourth Proportional to 340,083.96, 469,356.30 and 194,941.68

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Solution

The fourth proportional to 340,083.96, 469,356.30 and 194,941.68 is: 269,042.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,083.96 : 469,356.30 = 194,941.68 : x
  2. Step 2: Convert to fraction form
    340,083.96/469,356.30 = 194,941.68/x
  3. Step 3: Cross multiply
    340,083.96x = 469,356.30 × 194,941.68
  4. Step 4: Simplify right side
    340,083.96x = 91,497,105,640.58
  5. Step 5: Solve for x
    x = 91,497,105,640.58/340,083.96
  6. Step 6: Final answer
    x = 269,042.70

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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.