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Finding the Fourth Proportional to 357,850.34, 493,834.49 and 204,890.87

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Solution

The fourth proportional to 357,850.34, 493,834.49 and 204,890.87 is: 282,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,850.34 : 493,834.49 = 204,890.87 : x
  2. Step 2: Convert to fraction form
    357,850.34/493,834.49 = 204,890.87/x
  3. Step 3: Cross multiply
    357,850.34x = 493,834.49 × 204,890.87
  4. Step 4: Simplify right side
    357,850.34x = 101,182,177,267.65
  5. Step 5: Solve for x
    x = 101,182,177,267.65/357,850.34
  6. Step 6: Final answer
    x = 282,749.99

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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.