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Finding the Fourth Proportional to 327,013.98, 490,507.20 and 113,830.50

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Solution

The fourth proportional to 327,013.98, 490,507.20 and 113,830.50 is: 170,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,013.98 : 490,507.20 = 113,830.50 : x
  2. Step 2: Convert to fraction form
    327,013.98/490,507.20 = 113,830.50/x
  3. Step 3: Cross multiply
    327,013.98x = 490,507.20 × 113,830.50
  4. Step 4: Simplify right side
    327,013.98x = 55,834,679,829.60
  5. Step 5: Solve for x
    x = 55,834,679,829.60/327,013.98
  6. Step 6: Final answer
    x = 170,740.96

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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.