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Finding the Fourth Proportional to 357,533.37, 493,382.81 and 196,378.82

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Solution

The fourth proportional to 357,533.37, 493,382.81 and 196,378.82 is: 270,995.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,533.37 : 493,382.81 = 196,378.82 : x
  2. Step 2: Convert to fraction form
    357,533.37/493,382.81 = 196,378.82/x
  3. Step 3: Cross multiply
    357,533.37x = 493,382.81 × 196,378.82
  4. Step 4: Simplify right side
    357,533.37x = 96,889,930,587.28
  5. Step 5: Solve for x
    x = 96,889,930,587.28/357,533.37
  6. Step 6: Final answer
    x = 270,995.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.