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Finding the Fourth Proportional to 311,412.30, 467,118.45 and 272,046.30

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Solution

The fourth proportional to 311,412.30, 467,118.45 and 272,046.30 is: 408,069.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,412.30 : 467,118.45 = 272,046.30 : x
  2. Step 2: Convert to fraction form
    311,412.30/467,118.45 = 272,046.30/x
  3. Step 3: Cross multiply
    311,412.30x = 467,118.45 × 272,046.30
  4. Step 4: Simplify right side
    311,412.30x = 127,077,845,984.24
  5. Step 5: Solve for x
    x = 127,077,845,984.24/311,412.30
  6. Step 6: Final answer
    x = 408,069.45

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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.