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Finding the Fourth Proportional to 756,326, 1,043,751.77 and 416,816.12

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Solution

The fourth proportional to 756,326, 1,043,751.77 and 416,816.12 is: 575,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,326 : 1,043,751.77 = 416,816.12 : x
  2. Step 2: Convert to fraction form
    756,326/1,043,751.77 = 416,816.12/x
  3. Step 3: Cross multiply
    756,326x = 1,043,751.77 × 416,816.12
  4. Step 4: Simplify right side
    756,326x = 435,052,560,930.45
  5. Step 5: Solve for x
    x = 435,052,560,930.45/756,326
  6. Step 6: Final answer
    x = 575,218.31

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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.