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Finding the Fourth Proportional to 681,616.70, 940,701.04 and 409,772.60

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Solution

The fourth proportional to 681,616.70, 940,701.04 and 409,772.60 is: 565,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,616.70 : 940,701.04 = 409,772.60 : x
  2. Step 2: Convert to fraction form
    681,616.70/940,701.04 = 409,772.60/x
  3. Step 3: Cross multiply
    681,616.70x = 940,701.04 × 409,772.60
  4. Step 4: Simplify right side
    681,616.70x = 385,473,510,983.50
  5. Step 5: Solve for x
    x = 385,473,510,983.50/681,616.70
  6. Step 6: Final answer
    x = 565,528.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.