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Finding the Fourth Proportional to 310,227.88, 465,396.42 and 160,427.44

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Solution

The fourth proportional to 310,227.88, 465,396.42 and 160,427.44 is: 240,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,227.88 : 465,396.42 = 160,427.44 : x
  2. Step 2: Convert to fraction form
    310,227.88/465,396.42 = 160,427.44/x
  3. Step 3: Cross multiply
    310,227.88x = 465,396.42 × 160,427.44
  4. Step 4: Simplify right side
    310,227.88x = 74,662,356,245.76
  5. Step 5: Solve for x
    x = 74,662,356,245.76/310,227.88
  6. Step 6: Final answer
    x = 240,669.40

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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.