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Finding the Fourth Proportional to 779,922, 1,076,292.36 and 422,226

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Solution

The fourth proportional to 779,922, 1,076,292.36 and 422,226 is: 582,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,922 : 1,076,292.36 = 422,226 : x
  2. Step 2: Convert to fraction form
    779,922/1,076,292.36 = 422,226/x
  3. Step 3: Cross multiply
    779,922x = 1,076,292.36 × 422,226
  4. Step 4: Simplify right side
    779,922x = 454,438,617,993.36
  5. Step 5: Solve for x
    x = 454,438,617,993.36/779,922
  6. Step 6: Final answer
    x = 582,671.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.