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Finding the Fourth Proportional to 445,830.36, 668,745.54 and 192,903.81

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Solution

The fourth proportional to 445,830.36, 668,745.54 and 192,903.81 is: 289,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,830.36 : 668,745.54 = 192,903.81 : x
  2. Step 2: Convert to fraction form
    445,830.36/668,745.54 = 192,903.81/x
  3. Step 3: Cross multiply
    445,830.36x = 668,745.54 × 192,903.81
  4. Step 4: Simplify right side
    445,830.36x = 129,003,562,586.51
  5. Step 5: Solve for x
    x = 129,003,562,586.51/445,830.36
  6. Step 6: Final answer
    x = 289,355.72

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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.