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Finding the Fourth Proportional to 456,099.73, 683,859.81 and 400,052.39

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Solution

The fourth proportional to 456,099.73, 683,859.81 and 400,052.39 is: 599,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,099.73 : 683,859.81 = 400,052.39 : x
  2. Step 2: Convert to fraction form
    456,099.73/683,859.81 = 400,052.39/x
  3. Step 3: Cross multiply
    456,099.73x = 683,859.81 × 400,052.39
  4. Step 4: Simplify right side
    456,099.73x = 273,579,749,496.34
  5. Step 5: Solve for x
    x = 273,579,749,496.34/456,099.73
  6. Step 6: Final answer
    x = 599,824.41

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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.