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Finding the Fourth Proportional to 314,591.56, 434,231.22 and 214,047.88

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Solution

The fourth proportional to 314,591.56, 434,231.22 and 214,047.88 is: 295,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,591.56 : 434,231.22 = 214,047.88 : x
  2. Step 2: Convert to fraction form
    314,591.56/434,231.22 = 214,047.88/x
  3. Step 3: Cross multiply
    314,591.56x = 434,231.22 × 214,047.88
  4. Step 4: Simplify right side
    314,591.56x = 92,946,272,070.81
  5. Step 5: Solve for x
    x = 92,946,272,070.81/314,591.56
  6. Step 6: Final answer
    x = 295,450.62

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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.