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Finding the Fourth Proportional to 409,046.23, 613,611.24 and 156,539.09

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Solution

The fourth proportional to 409,046.23, 613,611.24 and 156,539.09 is: 234,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,046.23 : 613,611.24 = 156,539.09 : x
  2. Step 2: Convert to fraction form
    409,046.23/613,611.24 = 156,539.09/x
  3. Step 3: Cross multiply
    409,046.23x = 613,611.24 × 156,539.09
  4. Step 4: Simplify right side
    409,046.23x = 96,054,145,123.37
  5. Step 5: Solve for x
    x = 96,054,145,123.37/409,046.23
  6. Step 6: Final answer
    x = 234,824.67

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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.