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Finding the Fourth Proportional to 780,156, 1,076,615.28 and 422,460

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Solution

The fourth proportional to 780,156, 1,076,615.28 and 422,460 is: 582,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,156 : 1,076,615.28 = 422,460 : x
  2. Step 2: Convert to fraction form
    780,156/1,076,615.28 = 422,460/x
  3. Step 3: Cross multiply
    780,156x = 1,076,615.28 × 422,460
  4. Step 4: Simplify right side
    780,156x = 454,826,891,188.80
  5. Step 5: Solve for x
    x = 454,826,891,188.80/780,156
  6. Step 6: Final answer
    x = 582,994.80

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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.