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Finding the Fourth Proportional to 780,055, 1,076,475.90 and 422,359

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Solution

The fourth proportional to 780,055, 1,076,475.90 and 422,359 is: 582,855.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,055 : 1,076,475.90 = 422,359 : x
  2. Step 2: Convert to fraction form
    780,055/1,076,475.90 = 422,359/x
  3. Step 3: Cross multiply
    780,055x = 1,076,475.90 × 422,359
  4. Step 4: Simplify right side
    780,055x = 454,659,284,648.10
  5. Step 5: Solve for x
    x = 454,659,284,648.10/780,055
  6. Step 6: Final answer
    x = 582,855.42

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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.