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Finding the Fourth Proportional to 400,506.97, 600,683.89 and 120,024.22

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Solution

The fourth proportional to 400,506.97, 600,683.89 and 120,024.22 is: 180,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,506.97 : 600,683.89 = 120,024.22 : x
  2. Step 2: Convert to fraction form
    400,506.97/600,683.89 = 120,024.22/x
  3. Step 3: Cross multiply
    400,506.97x = 600,683.89 × 120,024.22
  4. Step 4: Simplify right side
    400,506.97x = 72,096,611,760.28
  5. Step 5: Solve for x
    x = 72,096,611,760.28/400,506.97
  6. Step 6: Final answer
    x = 180,013.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.