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Finding the Fourth Proportional to 1,340,523.09, 1,849,939.16 and 728,684.73

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Solution

The fourth proportional to 1,340,523.09, 1,849,939.16 and 728,684.73 is: 1,005,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,523.09 : 1,849,939.16 = 728,684.73 : x
  2. Step 2: Convert to fraction form
    1,340,523.09/1,849,939.16 = 728,684.73/x
  3. Step 3: Cross multiply
    1,340,523.09x = 1,849,939.16 × 728,684.73
  4. Step 4: Simplify right side
    1,340,523.09x = 1,348,022,413,677.60
  5. Step 5: Solve for x
    x = 1,348,022,413,677.60/1,340,523.09
  6. Step 6: Final answer
    x = 1,005,594.33

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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.