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Finding the Fourth Proportional to 580,448.96, 800,992.64 and 322,342.30

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Solution

The fourth proportional to 580,448.96, 800,992.64 and 322,342.30 is: 444,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,448.96 : 800,992.64 = 322,342.30 : x
  2. Step 2: Convert to fraction form
    580,448.96/800,992.64 = 322,342.30/x
  3. Step 3: Cross multiply
    580,448.96x = 800,992.64 × 322,342.30
  4. Step 4: Simplify right side
    580,448.96x = 258,193,809,860.67
  5. Step 5: Solve for x
    x = 258,193,809,860.67/580,448.96
  6. Step 6: Final answer
    x = 444,817.42

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1.5x scale

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.