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Finding the Fourth Proportional to 319,831, 441,405.66 and 185,695

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Solution

The fourth proportional to 319,831, 441,405.66 and 185,695 is: 256,281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,831 : 441,405.66 = 185,695 : x
  2. Step 2: Convert to fraction form
    319,831/441,405.66 = 185,695/x
  3. Step 3: Cross multiply
    319,831x = 441,405.66 × 185,695
  4. Step 4: Simplify right side
    319,831x = 81,966,824,033.70
  5. Step 5: Solve for x
    x = 81,966,824,033.70/319,831
  6. Step 6: Final answer
    x = 256,281.67

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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.