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Finding the Fourth Proportional to 1,340,525.59, 1,849,942.61 and 728,687.23

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Solution

The fourth proportional to 1,340,525.59, 1,849,942.61 and 728,687.23 is: 1,005,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,525.59 : 1,849,942.61 = 728,687.23 : x
  2. Step 2: Convert to fraction form
    1,340,525.59/1,849,942.61 = 728,687.23/x
  3. Step 3: Cross multiply
    1,340,525.59x = 1,849,942.61 × 728,687.23
  4. Step 4: Simplify right side
    1,340,525.59x = 1,348,029,552,496.43
  5. Step 5: Solve for x
    x = 1,348,029,552,496.43/1,340,525.59
  6. Step 6: Final answer
    x = 1,005,597.78

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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.