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Finding the Fourth Proportional to 590,965.14, 815,562.42 and 361,450.42

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Solution

The fourth proportional to 590,965.14, 815,562.42 and 361,450.42 is: 498,820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,965.14 : 815,562.42 = 361,450.42 : x
  2. Step 2: Convert to fraction form
    590,965.14/815,562.42 = 361,450.42/x
  3. Step 3: Cross multiply
    590,965.14x = 815,562.42 × 361,450.42
  4. Step 4: Simplify right side
    590,965.14x = 294,785,379,245.22
  5. Step 5: Solve for x
    x = 294,785,379,245.22/590,965.14
  6. Step 6: Final answer
    x = 498,820.25

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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.