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Finding the Fourth Proportional to 348,593.76, 481,075.20 and 205,359.84

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Solution

The fourth proportional to 348,593.76, 481,075.20 and 205,359.84 is: 283,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,593.76 : 481,075.20 = 205,359.84 : x
  2. Step 2: Convert to fraction form
    348,593.76/481,075.20 = 205,359.84/x
  3. Step 3: Cross multiply
    348,593.76x = 481,075.20 × 205,359.84
  4. Step 4: Simplify right side
    348,593.76x = 98,793,526,099.97
  5. Step 5: Solve for x
    x = 98,793,526,099.97/348,593.76
  6. Step 6: Final answer
    x = 283,405.89

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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.