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Finding the Fourth Proportional to 649,485.40, 974,381.70 and 206,253.40

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Solution

The fourth proportional to 649,485.40, 974,381.70 and 206,253.40 is: 309,428.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,485.40 : 974,381.70 = 206,253.40 : x
  2. Step 2: Convert to fraction form
    649,485.40/974,381.70 = 206,253.40/x
  3. Step 3: Cross multiply
    649,485.40x = 974,381.70 × 206,253.40
  4. Step 4: Simplify right side
    649,485.40x = 200,969,538,522.78
  5. Step 5: Solve for x
    x = 200,969,538,522.78/649,485.40
  6. Step 6: Final answer
    x = 309,428.88

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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.