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Finding the Fourth Proportional to 341,968.34, 471,940.74 and 189,003.24

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Solution

The fourth proportional to 341,968.34, 471,940.74 and 189,003.24 is: 260,837.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,968.34 : 471,940.74 = 189,003.24 : x
  2. Step 2: Convert to fraction form
    341,968.34/471,940.74 = 189,003.24/x
  3. Step 3: Cross multiply
    341,968.34x = 471,940.74 × 189,003.24
  4. Step 4: Simplify right side
    341,968.34x = 89,198,329,656.76
  5. Step 5: Solve for x
    x = 89,198,329,656.76/341,968.34
  6. Step 6: Final answer
    x = 260,837.97

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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.