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Finding the Fourth Proportional to 330,626.34, 455,842.00 and 214,134.03

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Solution

The fourth proportional to 330,626.34, 455,842.00 and 214,134.03 is: 295,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,626.34 : 455,842.00 = 214,134.03 : x
  2. Step 2: Convert to fraction form
    330,626.34/455,842.00 = 214,134.03/x
  3. Step 3: Cross multiply
    330,626.34x = 455,842.00 × 214,134.03
  4. Step 4: Simplify right side
    330,626.34x = 97,611,281,153.38
  5. Step 5: Solve for x
    x = 97,611,281,153.38/330,626.34
  6. Step 6: Final answer
    x = 295,231.42

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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.