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Finding the Fourth Proportional to 274,407.68, 412,300.32 and 174,611.20

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Solution

The fourth proportional to 274,407.68, 412,300.32 and 174,611.20 is: 262,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,407.68 : 412,300.32 = 174,611.20 : x
  2. Step 2: Convert to fraction form
    274,407.68/412,300.32 = 174,611.20/x
  3. Step 3: Cross multiply
    274,407.68x = 412,300.32 × 174,611.20
  4. Step 4: Simplify right side
    274,407.68x = 71,992,253,635.58
  5. Step 5: Solve for x
    x = 71,992,253,635.58/274,407.68
  6. Step 6: Final answer
    x = 262,355.10

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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.