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Finding the Fourth Proportional to 469,696.50, 648,162.27 and 254,828.34

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Solution

The fourth proportional to 469,696.50, 648,162.27 and 254,828.34 is: 351,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,696.50 : 648,162.27 = 254,828.34 : x
  2. Step 2: Convert to fraction form
    469,696.50/648,162.27 = 254,828.34/x
  3. Step 3: Cross multiply
    469,696.50x = 648,162.27 × 254,828.34
  4. Step 4: Simplify right side
    469,696.50x = 165,170,115,314.73
  5. Step 5: Solve for x
    x = 165,170,115,314.73/469,696.50
  6. Step 6: Final answer
    x = 351,652.86

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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.