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Finding the Fourth Proportional to 580,114.40, 800,606.08 and 322,015.58

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Solution

The fourth proportional to 580,114.40, 800,606.08 and 322,015.58 is: 444,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,114.40 : 800,606.08 = 322,015.58 : x
  2. Step 2: Convert to fraction form
    580,114.40/800,606.08 = 322,015.58/x
  3. Step 3: Cross multiply
    580,114.40x = 800,606.08 × 322,015.58
  4. Step 4: Simplify right side
    580,114.40x = 257,807,631,202.73
  5. Step 5: Solve for x
    x = 257,807,631,202.73/580,114.40
  6. Step 6: Final answer
    x = 444,408.26

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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.