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Finding the Fourth Proportional to 590,966.14, 815,563.80 and 361,451.42

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Solution

The fourth proportional to 590,966.14, 815,563.80 and 361,451.42 is: 498,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,966.14 : 815,563.80 = 361,451.42 : x
  2. Step 2: Convert to fraction form
    590,966.14/815,563.80 = 361,451.42/x
  3. Step 3: Cross multiply
    590,966.14x = 815,563.80 × 361,451.42
  4. Step 4: Simplify right side
    590,966.14x = 294,786,693,610.60
  5. Step 5: Solve for x
    x = 294,786,693,610.60/590,966.14
  6. Step 6: Final answer
    x = 498,821.63

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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.