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Finding the Fourth Proportional to 335,330.87, 462,518.64 and 206,099.67

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Solution

The fourth proportional to 335,330.87, 462,518.64 and 206,099.67 is: 284,271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,330.87 : 462,518.64 = 206,099.67 : x
  2. Step 2: Convert to fraction form
    335,330.87/462,518.64 = 206,099.67/x
  3. Step 3: Cross multiply
    335,330.87x = 462,518.64 × 206,099.67
  4. Step 4: Simplify right side
    335,330.87x = 95,324,938,205.63
  5. Step 5: Solve for x
    x = 95,324,938,205.63/335,330.87
  6. Step 6: Final answer
    x = 284,271.29

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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.