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Finding the Fourth Proportional to 507,193.47, 699,918.44 and 280,834.11

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Solution

The fourth proportional to 507,193.47, 699,918.44 and 280,834.11 is: 387,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,193.47 : 699,918.44 = 280,834.11 : x
  2. Step 2: Convert to fraction form
    507,193.47/699,918.44 = 280,834.11/x
  3. Step 3: Cross multiply
    507,193.47x = 699,918.44 × 280,834.11
  4. Step 4: Simplify right side
    507,193.47x = 196,560,970,765.82
  5. Step 5: Solve for x
    x = 196,560,970,765.82/507,193.47
  6. Step 6: Final answer
    x = 387,546.34

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1.5x scale

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.