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Finding the Fourth Proportional to 340,561.41, 469,974.86 and 197,404.49

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Solution

The fourth proportional to 340,561.41, 469,974.86 and 197,404.49 is: 272,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,561.41 : 469,974.86 = 197,404.49 : x
  2. Step 2: Convert to fraction form
    340,561.41/469,974.86 = 197,404.49/x
  3. Step 3: Cross multiply
    340,561.41x = 469,974.86 × 197,404.49
  4. Step 4: Simplify right side
    340,561.41x = 92,775,144,214.22
  5. Step 5: Solve for x
    x = 92,775,144,214.22/340,561.41
  6. Step 6: Final answer
    x = 272,418.25

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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.