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Finding the Fourth Proportional to 363,972.80, 545,829.60 and 164,388.80

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Solution

The fourth proportional to 363,972.80, 545,829.60 and 164,388.80 is: 246,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,972.80 : 545,829.60 = 164,388.80 : x
  2. Step 2: Convert to fraction form
    363,972.80/545,829.60 = 164,388.80/x
  3. Step 3: Cross multiply
    363,972.80x = 545,829.60 × 164,388.80
  4. Step 4: Simplify right side
    363,972.80x = 89,728,272,948.48
  5. Step 5: Solve for x
    x = 89,728,272,948.48/363,972.80
  6. Step 6: Final answer
    x = 246,524.67

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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.