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Finding the Fourth Proportional to 415,863.20, 622,237.80 and 296,196.80

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Solution

The fourth proportional to 415,863.20, 622,237.80 and 296,196.80 is: 443,186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,863.20 : 622,237.80 = 296,196.80 : x
  2. Step 2: Convert to fraction form
    415,863.20/622,237.80 = 296,196.80/x
  3. Step 3: Cross multiply
    415,863.20x = 622,237.80 × 296,196.80
  4. Step 4: Simplify right side
    415,863.20x = 184,304,845,199.04
  5. Step 5: Solve for x
    x = 184,304,845,199.04/415,863.20
  6. Step 6: Final answer
    x = 443,186.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.