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Finding the Fourth Proportional to 341,508.78, 471,323.44 and 194,369.41

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Solution

The fourth proportional to 341,508.78, 471,323.44 and 194,369.41 is: 268,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,508.78 : 471,323.44 = 194,369.41 : x
  2. Step 2: Convert to fraction form
    341,508.78/471,323.44 = 194,369.41/x
  3. Step 3: Cross multiply
    341,508.78x = 471,323.44 × 194,369.41
  4. Step 4: Simplify right side
    341,508.78x = 91,610,860,667.82
  5. Step 5: Solve for x
    x = 91,610,860,667.82/341,508.78
  6. Step 6: Final answer
    x = 268,253.31

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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.