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Finding the Fourth Proportional to 333,034.33, 499,420 and 133,317.49

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Solution

The fourth proportional to 333,034.33, 499,420 and 133,317.49 is: 199,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,034.33 : 499,420 = 133,317.49 : x
  2. Step 2: Convert to fraction form
    333,034.33/499,420 = 133,317.49/x
  3. Step 3: Cross multiply
    333,034.33x = 499,420 × 133,317.49
  4. Step 4: Simplify right side
    333,034.33x = 66,581,420,855.80
  5. Step 5: Solve for x
    x = 66,581,420,855.80/333,034.33
  6. Step 6: Final answer
    x = 199,923.60

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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.