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Finding the Fourth Proportional to 395,493.94, 593,235.96 and 95,977

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Solution

The fourth proportional to 395,493.94, 593,235.96 and 95,977 is: 143,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,493.94 : 593,235.96 = 95,977 : x
  2. Step 2: Convert to fraction form
    395,493.94/593,235.96 = 95,977/x
  3. Step 3: Cross multiply
    395,493.94x = 593,235.96 × 95,977
  4. Step 4: Simplify right side
    395,493.94x = 56,937,007,732.92
  5. Step 5: Solve for x
    x = 56,937,007,732.92/395,493.94
  6. Step 6: Final answer
    x = 143,964.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.