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Finding the Fourth Proportional to 311,907.40, 467,473.50 and 143,248.80

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Solution

The fourth proportional to 311,907.40, 467,473.50 and 143,248.80 is: 214,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,907.40 : 467,473.50 = 143,248.80 : x
  2. Step 2: Convert to fraction form
    311,907.40/467,473.50 = 143,248.80/x
  3. Step 3: Cross multiply
    311,907.40x = 467,473.50 × 143,248.80
  4. Step 4: Simplify right side
    311,907.40x = 66,965,017,906.80
  5. Step 5: Solve for x
    x = 66,965,017,906.80/311,907.40
  6. Step 6: Final answer
    x = 214,695.19

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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.