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Finding the Fourth Proportional to 456,136.44, 684,139.44 and 156,611.40

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Solution

The fourth proportional to 456,136.44, 684,139.44 and 156,611.40 is: 234,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,136.44 : 684,139.44 = 156,611.40 : x
  2. Step 2: Convert to fraction form
    456,136.44/684,139.44 = 156,611.40/x
  3. Step 3: Cross multiply
    456,136.44x = 684,139.44 × 156,611.40
  4. Step 4: Simplify right side
    456,136.44x = 107,144,035,493.62
  5. Step 5: Solve for x
    x = 107,144,035,493.62/456,136.44
  6. Step 6: Final answer
    x = 234,894.71

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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.