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Finding the Fourth Proportional to 1,393,839.06, 1,923,527.51 and 782,036.06

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Solution

The fourth proportional to 1,393,839.06, 1,923,527.51 and 782,036.06 is: 1,079,226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393,839.06 : 1,923,527.51 = 782,036.06 : x
  2. Step 2: Convert to fraction form
    1,393,839.06/1,923,527.51 = 782,036.06/x
  3. Step 3: Cross multiply
    1,393,839.06x = 1,923,527.51 × 782,036.06
  4. Step 4: Simplify right side
    1,393,839.06x = 1,504,267,861,694.19
  5. Step 5: Solve for x
    x = 1,504,267,861,694.19/1,393,839.06
  6. Step 6: Final answer
    x = 1,079,226.36

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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.