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Finding the Fourth Proportional to 341,873.29, 471,709.36 and 196,670.16

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Solution

The fourth proportional to 341,873.29, 471,709.36 and 196,670.16 is: 271,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,873.29 : 471,709.36 = 196,670.16 : x
  2. Step 2: Convert to fraction form
    341,873.29/471,709.36 = 196,670.16/x
  3. Step 3: Cross multiply
    341,873.29x = 471,709.36 × 196,670.16
  4. Step 4: Simplify right side
    341,873.29x = 92,771,151,962.80
  5. Step 5: Solve for x
    x = 92,771,151,962.80/341,873.29
  6. Step 6: Final answer
    x = 271,361.22

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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.