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Finding the Fourth Proportional to 335,965.86, 463,614.03 and 192,712.50

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Solution

The fourth proportional to 335,965.86, 463,614.03 and 192,712.50 is: 265,932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,965.86 : 463,614.03 = 192,712.50 : x
  2. Step 2: Convert to fraction form
    335,965.86/463,614.03 = 192,712.50/x
  3. Step 3: Cross multiply
    335,965.86x = 463,614.03 × 192,712.50
  4. Step 4: Simplify right side
    335,965.86x = 89,344,218,756.38
  5. Step 5: Solve for x
    x = 89,344,218,756.38/335,965.86
  6. Step 6: Final answer
    x = 265,932.43

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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.