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Finding the Fourth Proportional to 320,254.83, 441,941.13 and 177,014.16

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Solution

The fourth proportional to 320,254.83, 441,941.13 and 177,014.16 is: 244,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,254.83 : 441,941.13 = 177,014.16 : x
  2. Step 2: Convert to fraction form
    320,254.83/441,941.13 = 177,014.16/x
  3. Step 3: Cross multiply
    320,254.83x = 441,941.13 × 177,014.16
  4. Step 4: Simplify right side
    320,254.83x = 78,229,837,896.40
  5. Step 5: Solve for x
    x = 78,229,837,896.40/320,254.83
  6. Step 6: Final answer
    x = 244,273.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.