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Finding the Fourth Proportional to 468,158.69, 701,942.78 and 257,944.25

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Solution

The fourth proportional to 468,158.69, 701,942.78 and 257,944.25 is: 386,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,158.69 : 701,942.78 = 257,944.25 : x
  2. Step 2: Convert to fraction form
    468,158.69/701,942.78 = 257,944.25/x
  3. Step 3: Cross multiply
    468,158.69x = 701,942.78 × 257,944.25
  4. Step 4: Simplify right side
    468,158.69x = 181,062,099,130.58
  5. Step 5: Solve for x
    x = 181,062,099,130.58/468,158.69
  6. Step 6: Final answer
    x = 386,753.69

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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.