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Finding the Fourth Proportional to 413,876.94, 620,313.21 and 293,744.22

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Solution

The fourth proportional to 413,876.94, 620,313.21 and 293,744.22 is: 440,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,876.94 : 620,313.21 = 293,744.22 : x
  2. Step 2: Convert to fraction form
    413,876.94/620,313.21 = 293,744.22/x
  3. Step 3: Cross multiply
    413,876.94x = 620,313.21 × 293,744.22
  4. Step 4: Simplify right side
    413,876.94x = 182,213,420,027.15
  5. Step 5: Solve for x
    x = 182,213,420,027.15/413,876.94
  6. Step 6: Final answer
    x = 440,259.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.