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Finding the Fourth Proportional to 380,805.57, 525,508.42 and 208,733.09

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Solution

The fourth proportional to 380,805.57, 525,508.42 and 208,733.09 is: 288,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,805.57 : 525,508.42 = 208,733.09 : x
  2. Step 2: Convert to fraction form
    380,805.57/525,508.42 = 208,733.09/x
  3. Step 3: Cross multiply
    380,805.57x = 525,508.42 × 208,733.09
  4. Step 4: Simplify right side
    380,805.57x = 109,690,996,080.14
  5. Step 5: Solve for x
    x = 109,690,996,080.14/380,805.57
  6. Step 6: Final answer
    x = 288,049.88

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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.