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Finding the Fourth Proportional to 337,709.26, 465,993.12 and 192,533.77

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Solution

The fourth proportional to 337,709.26, 465,993.12 and 192,533.77 is: 265,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,709.26 : 465,993.12 = 192,533.77 : x
  2. Step 2: Convert to fraction form
    337,709.26/465,993.12 = 192,533.77/x
  3. Step 3: Cross multiply
    337,709.26x = 465,993.12 × 192,533.77
  4. Step 4: Simplify right side
    337,709.26x = 89,719,411,744.68
  5. Step 5: Solve for x
    x = 89,719,411,744.68/337,709.26
  6. Step 6: Final answer
    x = 265,670.57

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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.