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Finding the Fourth Proportional to 365,441.34, 504,352.62 and 214,538.34

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Solution

The fourth proportional to 365,441.34, 504,352.62 and 214,538.34 is: 296,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,441.34 : 504,352.62 = 214,538.34 : x
  2. Step 2: Convert to fraction form
    365,441.34/504,352.62 = 214,538.34/x
  3. Step 3: Cross multiply
    365,441.34x = 504,352.62 × 214,538.34
  4. Step 4: Simplify right side
    365,441.34x = 108,202,973,869.45
  5. Step 5: Solve for x
    x = 108,202,973,869.45/365,441.34
  6. Step 6: Final answer
    x = 296,088.49

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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.