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Finding the Fourth Proportional to 1,295,571.12, 1,787,879.52 and 714,824.16

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Solution

The fourth proportional to 1,295,571.12, 1,787,879.52 and 714,824.16 is: 986,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,571.12 : 1,787,879.52 = 714,824.16 : x
  2. Step 2: Convert to fraction form
    1,295,571.12/1,787,879.52 = 714,824.16/x
  3. Step 3: Cross multiply
    1,295,571.12x = 1,787,879.52 × 714,824.16
  4. Step 4: Simplify right side
    1,295,571.12x = 1,278,019,476,065.20
  5. Step 5: Solve for x
    x = 1,278,019,476,065.20/1,295,571.12
  6. Step 6: Final answer
    x = 986,452.58

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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.