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Finding the Fourth Proportional to 590,815.44, 815,321.14 and 322,543.44

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Solution

The fourth proportional to 590,815.44, 815,321.14 and 322,543.44 is: 445,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,815.44 : 815,321.14 = 322,543.44 : x
  2. Step 2: Convert to fraction form
    590,815.44/815,321.14 = 322,543.44/x
  3. Step 3: Cross multiply
    590,815.44x = 815,321.14 × 322,543.44
  4. Step 4: Simplify right side
    590,815.44x = 262,976,485,200.32
  5. Step 5: Solve for x
    x = 262,976,485,200.32/590,815.44
  6. Step 6: Final answer
    x = 445,107.67

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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.