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Finding the Fourth Proportional to 1,412,859.86, 1,949,724.36 and 768,274.41

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Solution

The fourth proportional to 1,412,859.86, 1,949,724.36 and 768,274.41 is: 1,060,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,859.86 : 1,949,724.36 = 768,274.41 : x
  2. Step 2: Convert to fraction form
    1,412,859.86/1,949,724.36 = 768,274.41/x
  3. Step 3: Cross multiply
    1,412,859.86x = 1,949,724.36 × 768,274.41
  4. Step 4: Simplify right side
    1,412,859.86x = 1,497,923,329,460.60
  5. Step 5: Solve for x
    x = 1,497,923,329,460.60/1,412,859.86
  6. Step 6: Final answer
    x = 1,060,206.59

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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.