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Finding the Fourth Proportional to 649,506.40, 974,086.80 and 200,226.40

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Solution

The fourth proportional to 649,506.40, 974,086.80 and 200,226.40 is: 300,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,506.40 : 974,086.80 = 200,226.40 : x
  2. Step 2: Convert to fraction form
    649,506.40/974,086.80 = 200,226.40/x
  3. Step 3: Cross multiply
    649,506.40x = 974,086.80 × 200,226.40
  4. Step 4: Simplify right side
    649,506.40x = 195,037,893,251.52
  5. Step 5: Solve for x
    x = 195,037,893,251.52/649,506.40
  6. Step 6: Final answer
    x = 300,286.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.