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Finding the Fourth Proportional to 511,774, 768,326.21 and 393,528.37

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Solution

The fourth proportional to 511,774, 768,326.21 and 393,528.37 is: 590,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,774 : 768,326.21 = 393,528.37 : x
  2. Step 2: Convert to fraction form
    511,774/768,326.21 = 393,528.37/x
  3. Step 3: Cross multiply
    511,774x = 768,326.21 × 393,528.37
  4. Step 4: Simplify right side
    511,774x = 302,358,161,049.58
  5. Step 5: Solve for x
    x = 302,358,161,049.58/511,774
  6. Step 6: Final answer
    x = 590,804.07

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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.