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Finding the Fourth Proportional to 1,340,092.63, 1,849,321.76 and 728,233.82

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Solution

The fourth proportional to 1,340,092.63, 1,849,321.76 and 728,233.82 is: 1,004,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,092.63 : 1,849,321.76 = 728,233.82 : x
  2. Step 2: Convert to fraction form
    1,340,092.63/1,849,321.76 = 728,233.82/x
  3. Step 3: Cross multiply
    1,340,092.63x = 1,849,321.76 × 728,233.82
  4. Step 4: Simplify right side
    1,340,092.63x = 1,346,738,649,693.92
  5. Step 5: Solve for x
    x = 1,346,738,649,693.92/1,340,092.63
  6. Step 6: Final answer
    x = 1,004,959.37

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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.