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Finding the Fourth Proportional to 341,509.78, 471,324.82 and 194,370.41

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Solution

The fourth proportional to 341,509.78, 471,324.82 and 194,370.41 is: 268,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,509.78 : 471,324.82 = 194,370.41 : x
  2. Step 2: Convert to fraction form
    341,509.78/471,324.82 = 194,370.41/x
  3. Step 3: Cross multiply
    341,509.78x = 471,324.82 × 194,370.41
  4. Step 4: Simplify right side
    341,509.78x = 91,611,598,506.58
  5. Step 5: Solve for x
    x = 91,611,598,506.58/341,509.78
  6. Step 6: Final answer
    x = 268,254.69

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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.