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Finding the Fourth Proportional to 469,817.42, 648,348.44 and 254,957.48

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Solution

The fourth proportional to 469,817.42, 648,348.44 and 254,957.48 is: 351,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,817.42 : 648,348.44 = 254,957.48 : x
  2. Step 2: Convert to fraction form
    469,817.42/648,348.44 = 254,957.48/x
  3. Step 3: Cross multiply
    469,817.42x = 648,348.44 × 254,957.48
  4. Step 4: Simplify right side
    469,817.42x = 165,301,284,424.33
  5. Step 5: Solve for x
    x = 165,301,284,424.33/469,817.42
  6. Step 6: Final answer
    x = 351,841.54

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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.