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Finding the Fourth Proportional to 780,052.50, 1,076,472.45 and 422,356.50

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Solution

The fourth proportional to 780,052.50, 1,076,472.45 and 422,356.50 is: 582,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,052.50 : 1,076,472.45 = 422,356.50 : x
  2. Step 2: Convert to fraction form
    780,052.50/1,076,472.45 = 422,356.50/x
  3. Step 3: Cross multiply
    780,052.50x = 1,076,472.45 × 422,356.50
  4. Step 4: Simplify right side
    780,052.50x = 454,655,136,328.43
  5. Step 5: Solve for x
    x = 454,655,136,328.43/780,052.50
  6. Step 6: Final answer
    x = 582,851.97

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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.