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Finding the Fourth Proportional to 310,286.66, 465,193.19 and 160,431.28

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Solution

The fourth proportional to 310,286.66, 465,193.19 and 160,431.28 is: 240,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,286.66 : 465,193.19 = 160,431.28 : x
  2. Step 2: Convert to fraction form
    310,286.66/465,193.19 = 160,431.28/x
  3. Step 3: Cross multiply
    310,286.66x = 465,193.19 × 160,431.28
  4. Step 4: Simplify right side
    310,286.66x = 74,631,538,157.08
  5. Step 5: Solve for x
    x = 74,631,538,157.08/310,286.66
  6. Step 6: Final answer
    x = 240,524.49

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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.