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Finding the Fourth Proportional to 320,254.37, 480,390 and 140,247.19

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Solution

The fourth proportional to 320,254.37, 480,390 and 140,247.19 is: 210,374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,254.37 : 480,390 = 140,247.19 : x
  2. Step 2: Convert to fraction form
    320,254.37/480,390 = 140,247.19/x
  3. Step 3: Cross multiply
    320,254.37x = 480,390 × 140,247.19
  4. Step 4: Simplify right side
    320,254.37x = 67,373,347,604.10
  5. Step 5: Solve for x
    x = 67,373,347,604.10/320,254.37
  6. Step 6: Final answer
    x = 210,374.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.