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Finding the Fourth Proportional to 1,073,309.80, 1,608,582.30 and 822,749.80

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Solution

The fourth proportional to 1,073,309.80, 1,608,582.30 and 822,749.80 is: 1,233,065.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,309.80 : 1,608,582.30 = 822,749.80 : x
  2. Step 2: Convert to fraction form
    1,073,309.80/1,608,582.30 = 822,749.80/x
  3. Step 3: Cross multiply
    1,073,309.80x = 1,608,582.30 × 822,749.80
  4. Step 4: Simplify right side
    1,073,309.80x = 1,323,460,765,608.54
  5. Step 5: Solve for x
    x = 1,323,460,765,608.54/1,073,309.80
  6. Step 6: Final answer
    x = 1,233,065.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.