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Finding the Fourth Proportional to 780,111, 1,076,559.66 and 422,415

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Solution

The fourth proportional to 780,111, 1,076,559.66 and 422,415 is: 582,936.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,111 : 1,076,559.66 = 422,415 : x
  2. Step 2: Convert to fraction form
    780,111/1,076,559.66 = 422,415/x
  3. Step 3: Cross multiply
    780,111x = 1,076,559.66 × 422,415
  4. Step 4: Simplify right side
    780,111x = 454,754,948,778.90
  5. Step 5: Solve for x
    x = 454,754,948,778.90/780,111
  6. Step 6: Final answer
    x = 582,936.21

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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.