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Finding the Fourth Proportional to 329,231.98, 493,836.58 and 139,570.33

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Solution

The fourth proportional to 329,231.98, 493,836.58 and 139,570.33 is: 209,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,231.98 : 493,836.58 = 139,570.33 : x
  2. Step 2: Convert to fraction form
    329,231.98/493,836.58 = 139,570.33/x
  3. Step 3: Cross multiply
    329,231.98x = 493,836.58 × 139,570.33
  4. Step 4: Simplify right side
    329,231.98x = 68,924,934,436.67
  5. Step 5: Solve for x
    x = 68,924,934,436.67/329,231.98
  6. Step 6: Final answer
    x = 209,350.67

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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.