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Finding the Fourth Proportional to 341,411.06, 471,076.93 and 196,188.79

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Solution

The fourth proportional to 341,411.06, 471,076.93 and 196,188.79 is: 270,700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,411.06 : 471,076.93 = 196,188.79 : x
  2. Step 2: Convert to fraction form
    341,411.06/471,076.93 = 196,188.79/x
  3. Step 3: Cross multiply
    341,411.06x = 471,076.93 × 196,188.79
  4. Step 4: Simplify right side
    341,411.06x = 92,420,012,893.61
  5. Step 5: Solve for x
    x = 92,420,012,893.61/341,411.06
  6. Step 6: Final answer
    x = 270,700.11

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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.