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Finding the Fourth Proportional to 508,222.33, 701,368.80 and 304,233.78

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Solution

The fourth proportional to 508,222.33, 701,368.80 and 304,233.78 is: 419,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,222.33 : 701,368.80 = 304,233.78 : x
  2. Step 2: Convert to fraction form
    508,222.33/701,368.80 = 304,233.78/x
  3. Step 3: Cross multiply
    508,222.33x = 701,368.80 × 304,233.78
  4. Step 4: Simplify right side
    508,222.33x = 213,380,081,198.06
  5. Step 5: Solve for x
    x = 213,380,081,198.06/508,222.33
  6. Step 6: Final answer
    x = 419,855.78

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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.