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Finding the Fourth Proportional to 413,781.60, 620,672.40 and 203,829.60

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Solution

The fourth proportional to 413,781.60, 620,672.40 and 203,829.60 is: 305,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,781.60 : 620,672.40 = 203,829.60 : x
  2. Step 2: Convert to fraction form
    413,781.60/620,672.40 = 203,829.60/x
  3. Step 3: Cross multiply
    413,781.60x = 620,672.40 × 203,829.60
  4. Step 4: Simplify right side
    413,781.60x = 126,511,407,023.04
  5. Step 5: Solve for x
    x = 126,511,407,023.04/413,781.60
  6. Step 6: Final answer
    x = 305,744.40

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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.