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Finding the Fourth Proportional to 304,059.34, 419,613.72 and 201,908.67

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Solution

The fourth proportional to 304,059.34, 419,613.72 and 201,908.67 is: 278,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,059.34 : 419,613.72 = 201,908.67 : x
  2. Step 2: Convert to fraction form
    304,059.34/419,613.72 = 201,908.67/x
  3. Step 3: Cross multiply
    304,059.34x = 419,613.72 × 201,908.67
  4. Step 4: Simplify right side
    304,059.34x = 84,723,648,118.95
  5. Step 5: Solve for x
    x = 84,723,648,118.95/304,059.34
  6. Step 6: Final answer
    x = 278,641.82

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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.