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Finding the Fourth Proportional to 468,277.27, 646,251.83 and 264,362.74

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Solution

The fourth proportional to 468,277.27, 646,251.83 and 264,362.74 is: 364,837.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,277.27 : 646,251.83 = 264,362.74 : x
  2. Step 2: Convert to fraction form
    468,277.27/646,251.83 = 264,362.74/x
  3. Step 3: Cross multiply
    468,277.27x = 646,251.83 × 264,362.74
  4. Step 4: Simplify right side
    468,277.27x = 170,844,902,562.73
  5. Step 5: Solve for x
    x = 170,844,902,562.73/468,277.27
  6. Step 6: Final answer
    x = 364,837.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.