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Finding the Fourth Proportional to 311,322.20, 467,129.10 and 161,731.40

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Solution

The fourth proportional to 311,322.20, 467,129.10 and 161,731.40 is: 242,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,322.20 : 467,129.10 = 161,731.40 : x
  2. Step 2: Convert to fraction form
    311,322.20/467,129.10 = 161,731.40/x
  3. Step 3: Cross multiply
    311,322.20x = 467,129.10 × 161,731.40
  4. Step 4: Simplify right side
    311,322.20x = 75,549,443,323.74
  5. Step 5: Solve for x
    x = 75,549,443,323.74/311,322.20
  6. Step 6: Final answer
    x = 242,672.84

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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.