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Finding the Fourth Proportional to 902,306, 1,353,550.44 and 333,837.20

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Solution

The fourth proportional to 902,306, 1,353,550.44 and 333,837.20 is: 500,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,306 : 1,353,550.44 = 333,837.20 : x
  2. Step 2: Convert to fraction form
    902,306/1,353,550.44 = 333,837.20/x
  3. Step 3: Cross multiply
    902,306x = 1,353,550.44 × 333,837.20
  4. Step 4: Simplify right side
    902,306x = 451,865,488,948.37
  5. Step 5: Solve for x
    x = 451,865,488,948.37/902,306
  6. Step 6: Final answer
    x = 500,789.63

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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.