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Finding the Fourth Proportional to 580,190.22, 800,649.72 and 322,051.92

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Solution

The fourth proportional to 580,190.22, 800,649.72 and 322,051.92 is: 444,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,190.22 : 800,649.72 = 322,051.92 : x
  2. Step 2: Convert to fraction form
    580,190.22/800,649.72 = 322,051.92/x
  3. Step 3: Cross multiply
    580,190.22x = 800,649.72 × 322,051.92
  4. Step 4: Simplify right side
    580,190.22x = 257,850,779,573.46
  5. Step 5: Solve for x
    x = 257,850,779,573.46/580,190.22
  6. Step 6: Final answer
    x = 444,424.55

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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.