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Finding the Fourth Proportional to 507,132.36, 699,843.24 and 280,773

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Solution

The fourth proportional to 507,132.36, 699,843.24 and 280,773 is: 387,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,132.36 : 699,843.24 = 280,773 : x
  2. Step 2: Convert to fraction form
    507,132.36/699,843.24 = 280,773/x
  3. Step 3: Cross multiply
    507,132.36x = 699,843.24 × 280,773
  4. Step 4: Simplify right side
    507,132.36x = 196,497,086,024.52
  5. Step 5: Solve for x
    x = 196,497,086,024.52/507,132.36
  6. Step 6: Final answer
    x = 387,467.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.