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Finding the Fourth Proportional to 365,716.56, 504,485.62 and 212,737.54

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Solution

The fourth proportional to 365,716.56, 504,485.62 and 212,737.54 is: 293,459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,716.56 : 504,485.62 = 212,737.54 : x
  2. Step 2: Convert to fraction form
    365,716.56/504,485.62 = 212,737.54/x
  3. Step 3: Cross multiply
    365,716.56x = 504,485.62 × 212,737.54
  4. Step 4: Simplify right side
    365,716.56x = 107,323,029,764.18
  5. Step 5: Solve for x
    x = 107,323,029,764.18/365,716.56
  6. Step 6: Final answer
    x = 293,459.58

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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.