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Finding the Fourth Proportional to 333,782.40, 501,062.40 and 200,812.80

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Solution

The fourth proportional to 333,782.40, 501,062.40 and 200,812.80 is: 301,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,782.40 : 501,062.40 = 200,812.80 : x
  2. Step 2: Convert to fraction form
    333,782.40/501,062.40 = 200,812.80/x
  3. Step 3: Cross multiply
    333,782.40x = 501,062.40 × 200,812.80
  4. Step 4: Simplify right side
    333,782.40x = 100,619,743,518.72
  5. Step 5: Solve for x
    x = 100,619,743,518.72/333,782.40
  6. Step 6: Final answer
    x = 301,453.11

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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.