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Finding the Fourth Proportional to 538,380.40, 806,598.60 and 313,556.80

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Solution

The fourth proportional to 538,380.40, 806,598.60 and 313,556.80 is: 469,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,380.40 : 806,598.60 = 313,556.80 : x
  2. Step 2: Convert to fraction form
    538,380.40/806,598.60 = 313,556.80/x
  3. Step 3: Cross multiply
    538,380.40x = 806,598.60 × 313,556.80
  4. Step 4: Simplify right side
    538,380.40x = 252,914,475,900.48
  5. Step 5: Solve for x
    x = 252,914,475,900.48/538,380.40
  6. Step 6: Final answer
    x = 469,769.10

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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.