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Finding the Fourth Proportional to 541,968.51, 812,696.24 and 200,299.88

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Solution

The fourth proportional to 541,968.51, 812,696.24 and 200,299.88 is: 300,355.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,968.51 : 812,696.24 = 200,299.88 : x
  2. Step 2: Convert to fraction form
    541,968.51/812,696.24 = 200,299.88/x
  3. Step 3: Cross multiply
    541,968.51x = 812,696.24 × 200,299.88
  4. Step 4: Simplify right side
    541,968.51x = 162,782,954,283.47
  5. Step 5: Solve for x
    x = 162,782,954,283.47/541,968.51
  6. Step 6: Final answer
    x = 300,355.00

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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.