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Finding the Fourth Proportional to 340,562.41, 469,976.24 and 197,405.49

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Solution

The fourth proportional to 340,562.41, 469,976.24 and 197,405.49 is: 272,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,562.41 : 469,976.24 = 197,405.49 : x
  2. Step 2: Convert to fraction form
    340,562.41/469,976.24 = 197,405.49/x
  3. Step 3: Cross multiply
    340,562.41x = 469,976.24 × 197,405.49
  4. Step 4: Simplify right side
    340,562.41x = 92,775,889,945.56
  5. Step 5: Solve for x
    x = 92,775,889,945.56/340,562.41
  6. Step 6: Final answer
    x = 272,419.64

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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.