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Finding the Fourth Proportional to 752,087, 1,037,880.06 and 412,556.06

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Solution

The fourth proportional to 752,087, 1,037,880.06 and 412,556.06 is: 569,327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,087 : 1,037,880.06 = 412,556.06 : x
  2. Step 2: Convert to fraction form
    752,087/1,037,880.06 = 412,556.06/x
  3. Step 3: Cross multiply
    752,087x = 1,037,880.06 × 412,556.06
  4. Step 4: Simplify right side
    752,087x = 428,183,708,306.16
  5. Step 5: Solve for x
    x = 428,183,708,306.16/752,087
  6. Step 6: Final answer
    x = 569,327.36

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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.