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Finding the Fourth Proportional to 280,242.36, 386,834.16 and 165,521.44

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Solution

The fourth proportional to 280,242.36, 386,834.16 and 165,521.44 is: 228,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,242.36 : 386,834.16 = 165,521.44 : x
  2. Step 2: Convert to fraction form
    280,242.36/386,834.16 = 165,521.44/x
  3. Step 3: Cross multiply
    280,242.36x = 386,834.16 × 165,521.44
  4. Step 4: Simplify right side
    280,242.36x = 64,029,347,204.39
  5. Step 5: Solve for x
    x = 64,029,347,204.39/280,242.36
  6. Step 6: Final answer
    x = 228,478.48

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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.