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Finding the Fourth Proportional to 589,538, 884,493.91 and 210,450.60

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Solution

The fourth proportional to 589,538, 884,493.91 and 210,450.60 is: 315,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,538 : 884,493.91 = 210,450.60 : x
  2. Step 2: Convert to fraction form
    589,538/884,493.91 = 210,450.60/x
  3. Step 3: Cross multiply
    589,538x = 884,493.91 × 210,450.60
  4. Step 4: Simplify right side
    589,538x = 186,142,274,055.85
  5. Step 5: Solve for x
    x = 186,142,274,055.85/589,538
  6. Step 6: Final answer
    x = 315,742.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.