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Finding the Fourth Proportional to 339,714.20, 468,851.07 and 219,205.84

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Solution

The fourth proportional to 339,714.20, 468,851.07 and 219,205.84 is: 302,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,714.20 : 468,851.07 = 219,205.84 : x
  2. Step 2: Convert to fraction form
    339,714.20/468,851.07 = 219,205.84/x
  3. Step 3: Cross multiply
    339,714.20x = 468,851.07 × 219,205.84
  4. Step 4: Simplify right side
    339,714.20x = 102,774,891,538.22
  5. Step 5: Solve for x
    x = 102,774,891,538.22/339,714.20
  6. Step 6: Final answer
    x = 302,533.40

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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.