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Finding the Fourth Proportional to 357,499.98, 493,355.90 and 196,369.92

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Solution

The fourth proportional to 357,499.98, 493,355.90 and 196,369.92 is: 270,993.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,499.98 : 493,355.90 = 196,369.92 : x
  2. Step 2: Convert to fraction form
    357,499.98/493,355.90 = 196,369.92/x
  3. Step 3: Cross multiply
    357,499.98x = 493,355.90 × 196,369.92
  4. Step 4: Simplify right side
    357,499.98x = 96,880,258,614.53
  5. Step 5: Solve for x
    x = 96,880,258,614.53/357,499.98
  6. Step 6: Final answer
    x = 270,993.75

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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.