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Finding the Fourth Proportional to 492,804.10, 738,914.55 and 256,608.10

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Solution

The fourth proportional to 492,804.10, 738,914.55 and 256,608.10 is: 384,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,804.10 : 738,914.55 = 256,608.10 : x
  2. Step 2: Convert to fraction form
    492,804.10/738,914.55 = 256,608.10/x
  3. Step 3: Cross multiply
    492,804.10x = 738,914.55 × 256,608.10
  4. Step 4: Simplify right side
    492,804.10x = 189,611,458,737.86
  5. Step 5: Solve for x
    x = 189,611,458,737.86/492,804.10
  6. Step 6: Final answer
    x = 384,760.31

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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.