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Finding the Fourth Proportional to 311,515.20, 467,272.80 and 232,783.20

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Solution

The fourth proportional to 311,515.20, 467,272.80 and 232,783.20 is: 349,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,515.20 : 467,272.80 = 232,783.20 : x
  2. Step 2: Convert to fraction form
    311,515.20/467,272.80 = 232,783.20/x
  3. Step 3: Cross multiply
    311,515.20x = 467,272.80 × 232,783.20
  4. Step 4: Simplify right side
    311,515.20x = 108,773,257,656.96
  5. Step 5: Solve for x
    x = 108,773,257,656.96/311,515.20
  6. Step 6: Final answer
    x = 349,174.80

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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.