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Finding the Fourth Proportional to 365,728.88, 504,807.32 and 212,796.63

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Solution

The fourth proportional to 365,728.88, 504,807.32 and 212,796.63 is: 293,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,728.88 : 504,807.32 = 212,796.63 : x
  2. Step 2: Convert to fraction form
    365,728.88/504,807.32 = 212,796.63/x
  3. Step 3: Cross multiply
    365,728.88x = 504,807.32 × 212,796.63
  4. Step 4: Simplify right side
    365,728.88x = 107,421,297,027.32
  5. Step 5: Solve for x
    x = 107,421,297,027.32/365,728.88
  6. Step 6: Final answer
    x = 293,718.39

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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.