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Finding the Fourth Proportional to 357,216.98, 492,965.79 and 196,087.01

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Solution

The fourth proportional to 357,216.98, 492,965.79 and 196,087.01 is: 270,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,216.98 : 492,965.79 = 196,087.01 : x
  2. Step 2: Convert to fraction form
    357,216.98/492,965.79 = 196,087.01/x
  3. Step 3: Cross multiply
    357,216.98x = 492,965.79 × 196,087.01
  4. Step 4: Simplify right side
    357,216.98x = 96,664,187,793.39
  5. Step 5: Solve for x
    x = 96,664,187,793.39/357,216.98
  6. Step 6: Final answer
    x = 270,603.56

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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.