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Finding the Fourth Proportional to 680,858, 1,021,287 and 182,209.04

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Solution

The fourth proportional to 680,858, 1,021,287 and 182,209.04 is: 273,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,858 : 1,021,287 = 182,209.04 : x
  2. Step 2: Convert to fraction form
    680,858/1,021,287 = 182,209.04/x
  3. Step 3: Cross multiply
    680,858x = 1,021,287 × 182,209.04
  4. Step 4: Simplify right side
    680,858x = 186,087,723,834.48
  5. Step 5: Solve for x
    x = 186,087,723,834.48/680,858
  6. Step 6: Final answer
    x = 273,313.56

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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.