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Finding the Fourth Proportional to 341,973.82, 471,924.32 and 196,776.71

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Solution

The fourth proportional to 341,973.82, 471,924.32 and 196,776.71 is: 271,552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,973.82 : 471,924.32 = 196,776.71 : x
  2. Step 2: Convert to fraction form
    341,973.82/471,924.32 = 196,776.71/x
  3. Step 3: Cross multiply
    341,973.82x = 471,924.32 × 196,776.71
  4. Step 4: Simplify right side
    341,973.82x = 92,863,713,190.91
  5. Step 5: Solve for x
    x = 92,863,713,190.91/341,973.82
  6. Step 6: Final answer
    x = 271,552.11

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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.