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Finding the Fourth Proportional to 365,727.50, 504,805.42 and 212,795.24

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Solution

The fourth proportional to 365,727.50, 504,805.42 and 212,795.24 is: 293,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,727.50 : 504,805.42 = 212,795.24 : x
  2. Step 2: Convert to fraction form
    365,727.50/504,805.42 = 212,795.24/x
  3. Step 3: Cross multiply
    365,727.50x = 504,805.42 × 212,795.24
  4. Step 4: Simplify right side
    365,727.50x = 107,420,190,502.20
  5. Step 5: Solve for x
    x = 107,420,190,502.20/365,727.50
  6. Step 6: Final answer
    x = 293,716.47

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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.