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Finding the Fourth Proportional to 365,835.72, 504,840.41 and 202,492.55

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Solution

The fourth proportional to 365,835.72, 504,840.41 and 202,492.55 is: 279,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,835.72 : 504,840.41 = 202,492.55 : x
  2. Step 2: Convert to fraction form
    365,835.72/504,840.41 = 202,492.55/x
  3. Step 3: Cross multiply
    365,835.72x = 504,840.41 × 202,492.55
  4. Step 4: Simplify right side
    365,835.72x = 102,226,418,427.28
  5. Step 5: Solve for x
    x = 102,226,418,427.28/365,835.72
  6. Step 6: Final answer
    x = 279,432.58

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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.