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Finding the Fourth Proportional to 280,493.27, 387,080.37 and 165,813.24

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Solution

The fourth proportional to 280,493.27, 387,080.37 and 165,813.24 is: 228,822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,493.27 : 387,080.37 = 165,813.24 : x
  2. Step 2: Convert to fraction form
    280,493.27/387,080.37 = 165,813.24/x
  3. Step 3: Cross multiply
    280,493.27x = 387,080.37 × 165,813.24
  4. Step 4: Simplify right side
    280,493.27x = 64,183,050,290.10
  5. Step 5: Solve for x
    x = 64,183,050,290.10/280,493.27
  6. Step 6: Final answer
    x = 228,822.07

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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.