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Finding the Fourth Proportional to 780,390, 1,076,938.20 and 422,694

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Solution

The fourth proportional to 780,390, 1,076,938.20 and 422,694 is: 583,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,390 : 1,076,938.20 = 422,694 : x
  2. Step 2: Convert to fraction form
    780,390/1,076,938.20 = 422,694/x
  3. Step 3: Cross multiply
    780,390x = 1,076,938.20 × 422,694
  4. Step 4: Simplify right side
    780,390x = 455,215,315,510.80
  5. Step 5: Solve for x
    x = 455,215,315,510.80/780,390
  6. Step 6: Final answer
    x = 583,317.72

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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.