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Finding the Fourth Proportional to 280,200, 386,676 and 179,598.24

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Solution

The fourth proportional to 280,200, 386,676 and 179,598.24 is: 247,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,200 : 386,676 = 179,598.24 : x
  2. Step 2: Convert to fraction form
    280,200/386,676 = 179,598.24/x
  3. Step 3: Cross multiply
    280,200x = 386,676 × 179,598.24
  4. Step 4: Simplify right side
    280,200x = 69,446,329,050.24
  5. Step 5: Solve for x
    x = 69,446,329,050.24/280,200
  6. Step 6: Final answer
    x = 247,845.57

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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.