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Finding the Fourth Proportional to 385,189.48, 577,797 and 132,467.44

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Solution

The fourth proportional to 385,189.48, 577,797 and 132,467.44 is: 198,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,189.48 : 577,797 = 132,467.44 : x
  2. Step 2: Convert to fraction form
    385,189.48/577,797 = 132,467.44/x
  3. Step 3: Cross multiply
    385,189.48x = 577,797 × 132,467.44
  4. Step 4: Simplify right side
    385,189.48x = 76,539,289,429.68
  5. Step 5: Solve for x
    x = 76,539,289,429.68/385,189.48
  6. Step 6: Final answer
    x = 198,705.56

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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.