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Finding the Fourth Proportional to 270,596.92, 405,934.26 and 83,623

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Solution

The fourth proportional to 270,596.92, 405,934.26 and 83,623 is: 125,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,596.92 : 405,934.26 = 83,623 : x
  2. Step 2: Convert to fraction form
    270,596.92/405,934.26 = 83,623/x
  3. Step 3: Cross multiply
    270,596.92x = 405,934.26 × 83,623
  4. Step 4: Simplify right side
    270,596.92x = 33,945,440,623.98
  5. Step 5: Solve for x
    x = 33,945,440,623.98/270,596.92
  6. Step 6: Final answer
    x = 125,446.52

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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.