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Finding the Fourth Proportional to 340,937.60, 511,406.40 and 311,446.40

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Solution

The fourth proportional to 340,937.60, 511,406.40 and 311,446.40 is: 467,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,937.60 : 511,406.40 = 311,446.40 : x
  2. Step 2: Convert to fraction form
    340,937.60/511,406.40 = 311,446.40/x
  3. Step 3: Cross multiply
    340,937.60x = 511,406.40 × 311,446.40
  4. Step 4: Simplify right side
    340,937.60x = 159,275,682,216.96
  5. Step 5: Solve for x
    x = 159,275,682,216.96/340,937.60
  6. Step 6: Final answer
    x = 467,169.60

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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.