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Finding the Fourth Proportional to 409,531.96, 565,200.06 and 228,260.44

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Solution

The fourth proportional to 409,531.96, 565,200.06 and 228,260.44 is: 315,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,531.96 : 565,200.06 = 228,260.44 : x
  2. Step 2: Convert to fraction form
    409,531.96/565,200.06 = 228,260.44/x
  3. Step 3: Cross multiply
    409,531.96x = 565,200.06 × 228,260.44
  4. Step 4: Simplify right side
    409,531.96x = 129,012,814,383.63
  5. Step 5: Solve for x
    x = 129,012,814,383.63/409,531.96
  6. Step 6: Final answer
    x = 315,025.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.