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Finding the Fourth Proportional to 357,825.94, 493,801.05 and 196,694.98

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Solution

The fourth proportional to 357,825.94, 493,801.05 and 196,694.98 is: 271,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,825.94 : 493,801.05 = 196,694.98 : x
  2. Step 2: Convert to fraction form
    357,825.94/493,801.05 = 196,694.98/x
  3. Step 3: Cross multiply
    357,825.94x = 493,801.05 × 196,694.98
  4. Step 4: Simplify right side
    357,825.94x = 97,128,187,653.73
  5. Step 5: Solve for x
    x = 97,128,187,653.73/357,825.94
  6. Step 6: Final answer
    x = 271,439.76

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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.