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Finding the Fourth Proportional to 468,163.00, 701,949.25 and 257,948.56

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Solution

The fourth proportional to 468,163.00, 701,949.25 and 257,948.56 is: 386,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,163.00 : 701,949.25 = 257,948.56 : x
  2. Step 2: Convert to fraction form
    468,163.00/701,949.25 = 257,948.56/x
  3. Step 3: Cross multiply
    468,163.00x = 701,949.25 × 257,948.56
  4. Step 4: Simplify right side
    468,163.00x = 181,066,795,830.84
  5. Step 5: Solve for x
    x = 181,066,795,830.84/468,163.00
  6. Step 6: Final answer
    x = 386,760.16

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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.