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Finding the Fourth Proportional to 365,889.12, 504,766.72 and 214,918.08

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Solution

The fourth proportional to 365,889.12, 504,766.72 and 214,918.08 is: 296,492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,889.12 : 504,766.72 = 214,918.08 : x
  2. Step 2: Convert to fraction form
    365,889.12/504,766.72 = 214,918.08/x
  3. Step 3: Cross multiply
    365,889.12x = 504,766.72 × 214,918.08
  4. Step 4: Simplify right side
    365,889.12x = 108,483,494,310.30
  5. Step 5: Solve for x
    x = 108,483,494,310.30/365,889.12
  6. Step 6: Final answer
    x = 296,492.81

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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.