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Finding the Fourth Proportional to 484,790.86, 725,414.79 and 285,205.24

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Solution

The fourth proportional to 484,790.86, 725,414.79 and 285,205.24 is: 426,765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,790.86 : 725,414.79 = 285,205.24 : x
  2. Step 2: Convert to fraction form
    484,790.86/725,414.79 = 285,205.24/x
  3. Step 3: Cross multiply
    484,790.86x = 725,414.79 × 285,205.24
  4. Step 4: Simplify right side
    484,790.86x = 206,892,097,467.96
  5. Step 5: Solve for x
    x = 206,892,097,467.96/484,790.86
  6. Step 6: Final answer
    x = 426,765.67

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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.