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Finding the Fourth Proportional to 408,827.10, 563,861.22 and 265,633.68

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Solution

The fourth proportional to 408,827.10, 563,861.22 and 265,633.68 is: 366,366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,827.10 : 563,861.22 = 265,633.68 : x
  2. Step 2: Convert to fraction form
    408,827.10/563,861.22 = 265,633.68/x
  3. Step 3: Cross multiply
    408,827.10x = 563,861.22 × 265,633.68
  4. Step 4: Simplify right side
    408,827.10x = 149,780,530,877.89
  5. Step 5: Solve for x
    x = 149,780,530,877.89/408,827.10
  6. Step 6: Final answer
    x = 366,366.44

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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.