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Finding the Fourth Proportional to 350,202.06, 483,296.94 and 214,193.34

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Solution

The fourth proportional to 350,202.06, 483,296.94 and 214,193.34 is: 295,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,202.06 : 483,296.94 = 214,193.34 : x
  2. Step 2: Convert to fraction form
    350,202.06/483,296.94 = 214,193.34/x
  3. Step 3: Cross multiply
    350,202.06x = 483,296.94 × 214,193.34
  4. Step 4: Simplify right side
    350,202.06x = 103,518,985,790.38
  5. Step 5: Solve for x
    x = 103,518,985,790.38/350,202.06
  6. Step 6: Final answer
    x = 295,597.88

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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.