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Finding the Fourth Proportional to 327,765.60, 491,648.40 and 260,114.40

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Solution

The fourth proportional to 327,765.60, 491,648.40 and 260,114.40 is: 390,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,765.60 : 491,648.40 = 260,114.40 : x
  2. Step 2: Convert to fraction form
    327,765.60/491,648.40 = 260,114.40/x
  3. Step 3: Cross multiply
    327,765.60x = 491,648.40 × 260,114.40
  4. Step 4: Simplify right side
    327,765.60x = 127,884,828,576.96
  5. Step 5: Solve for x
    x = 127,884,828,576.96/327,765.60
  6. Step 6: Final answer
    x = 390,171.60

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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.