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Finding the Fourth Proportional to 335,012.96, 462,130.74 and 205,861.70

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Solution

The fourth proportional to 335,012.96, 462,130.74 and 205,861.70 is: 283,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,012.96 : 462,130.74 = 205,861.70 : x
  2. Step 2: Convert to fraction form
    335,012.96/462,130.74 = 205,861.70/x
  3. Step 3: Cross multiply
    335,012.96x = 462,130.74 × 205,861.70
  4. Step 4: Simplify right side
    335,012.96x = 95,135,019,758.66
  5. Step 5: Solve for x
    x = 95,135,019,758.66/335,012.96
  6. Step 6: Final answer
    x = 283,974.15

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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.