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Finding the Fourth Proportional to 569,654.92, 853,735.02 and 419,190.76

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Solution

The fourth proportional to 569,654.92, 853,735.02 and 419,190.76 is: 628,236.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,654.92 : 853,735.02 = 419,190.76 : x
  2. Step 2: Convert to fraction form
    569,654.92/853,735.02 = 419,190.76/x
  3. Step 3: Cross multiply
    569,654.92x = 853,735.02 × 419,190.76
  4. Step 4: Simplify right side
    569,654.92x = 357,877,831,872.42
  5. Step 5: Solve for x
    x = 357,877,831,872.42/569,654.92
  6. Step 6: Final answer
    x = 628,236.18

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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.