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Finding the Fourth Proportional to 365,233.32, 504,072.05 and 210,181.43

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Solution

The fourth proportional to 365,233.32, 504,072.05 and 210,181.43 is: 290,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,233.32 : 504,072.05 = 210,181.43 : x
  2. Step 2: Convert to fraction form
    365,233.32/504,072.05 = 210,181.43/x
  3. Step 3: Cross multiply
    365,233.32x = 504,072.05 × 210,181.43
  4. Step 4: Simplify right side
    365,233.32x = 105,946,584,501.30
  5. Step 5: Solve for x
    x = 105,946,584,501.30/365,233.32
  6. Step 6: Final answer
    x = 290,079.19

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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.