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Finding the Fourth Proportional to 363,765.33, 501,996.69 and 210,833.28

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Solution

The fourth proportional to 363,765.33, 501,996.69 and 210,833.28 is: 290,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,765.33 : 501,996.69 = 210,833.28 : x
  2. Step 2: Convert to fraction form
    363,765.33/501,996.69 = 210,833.28/x
  3. Step 3: Cross multiply
    363,765.33x = 501,996.69 × 210,833.28
  4. Step 4: Simplify right side
    363,765.33x = 105,837,608,701.84
  5. Step 5: Solve for x
    x = 105,837,608,701.84/363,765.33
  6. Step 6: Final answer
    x = 290,950.24

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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.