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Finding the Fourth Proportional to 1,180,959, 1,770,383.57 and 461,133.24

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Solution

The fourth proportional to 1,180,959, 1,770,383.57 and 461,133.24 is: 691,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,959 : 1,770,383.57 = 461,133.24 : x
  2. Step 2: Convert to fraction form
    1,180,959/1,770,383.57 = 461,133.24/x
  3. Step 3: Cross multiply
    1,180,959x = 1,770,383.57 × 461,133.24
  4. Step 4: Simplify right side
    1,180,959x = 816,382,702,824.95
  5. Step 5: Solve for x
    x = 816,382,702,824.95/1,180,959
  6. Step 6: Final answer
    x = 691,287.93

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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.