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Finding the Fourth Proportional to 314,389.28, 433,728.96 and 193,494.08

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Solution

The fourth proportional to 314,389.28, 433,728.96 and 193,494.08 is: 266,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,389.28 : 433,728.96 = 193,494.08 : x
  2. Step 2: Convert to fraction form
    314,389.28/433,728.96 = 193,494.08/x
  3. Step 3: Cross multiply
    314,389.28x = 433,728.96 × 193,494.08
  4. Step 4: Simplify right side
    314,389.28x = 83,923,986,084.56
  5. Step 5: Solve for x
    x = 83,923,986,084.56/314,389.28
  6. Step 6: Final answer
    x = 266,942.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.