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Finding the Fourth Proportional to 492,481.36, 738,853.62 and 176,941

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Solution

The fourth proportional to 492,481.36, 738,853.62 and 176,941 is: 265,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,481.36 : 738,853.62 = 176,941 : x
  2. Step 2: Convert to fraction form
    492,481.36/738,853.62 = 176,941/x
  3. Step 3: Cross multiply
    492,481.36x = 738,853.62 × 176,941
  4. Step 4: Simplify right side
    492,481.36x = 130,733,498,376.42
  5. Step 5: Solve for x
    x = 130,733,498,376.42/492,481.36
  6. Step 6: Final answer
    x = 265,458.77

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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.