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Finding the Fourth Proportional to 385,321.60, 577,982.40 and 267,126.40

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Solution

The fourth proportional to 385,321.60, 577,982.40 and 267,126.40 is: 400,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,321.60 : 577,982.40 = 267,126.40 : x
  2. Step 2: Convert to fraction form
    385,321.60/577,982.40 = 267,126.40/x
  3. Step 3: Cross multiply
    385,321.60x = 577,982.40 × 267,126.40
  4. Step 4: Simplify right side
    385,321.60x = 154,394,357,775.36
  5. Step 5: Solve for x
    x = 154,394,357,775.36/385,321.60
  6. Step 6: Final answer
    x = 400,689.60

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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.