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Finding the Fourth Proportional to 280,349.10, 386,709.39 and 199,802.70

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Solution

The fourth proportional to 280,349.10, 386,709.39 and 199,802.70 is: 275,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,349.10 : 386,709.39 = 199,802.70 : x
  2. Step 2: Convert to fraction form
    280,349.10/386,709.39 = 199,802.70/x
  3. Step 3: Cross multiply
    280,349.10x = 386,709.39 × 199,802.70
  4. Step 4: Simplify right side
    280,349.10x = 77,265,580,237.35
  5. Step 5: Solve for x
    x = 77,265,580,237.35/280,349.10
  6. Step 6: Final answer
    x = 275,604.88

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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.