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Finding the Fourth Proportional to 380,714.67, 525,442.19 and 219,538.23

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Solution

The fourth proportional to 380,714.67, 525,442.19 and 219,538.23 is: 302,995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,714.67 : 525,442.19 = 219,538.23 : x
  2. Step 2: Convert to fraction form
    380,714.67/525,442.19 = 219,538.23/x
  3. Step 3: Cross multiply
    380,714.67x = 525,442.19 × 219,538.23
  4. Step 4: Simplify right side
    380,714.67x = 115,354,647,262.23
  5. Step 5: Solve for x
    x = 115,354,647,262.23/380,714.67
  6. Step 6: Final answer
    x = 302,995.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.