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Finding the Fourth Proportional to 414,336.81, 571,835.52 and 233,056.38

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Solution

The fourth proportional to 414,336.81, 571,835.52 and 233,056.38 is: 321,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,336.81 : 571,835.52 = 233,056.38 : x
  2. Step 2: Convert to fraction form
    414,336.81/571,835.52 = 233,056.38/x
  3. Step 3: Cross multiply
    414,336.81x = 571,835.52 × 233,056.38
  4. Step 4: Simplify right side
    414,336.81x = 133,269,916,246.62
  5. Step 5: Solve for x
    x = 133,269,916,246.62/414,336.81
  6. Step 6: Final answer
    x = 321,646.33

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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.