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Finding the Fourth Proportional to 649,410.40, 974,269.20 and 206,178.40

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Solution

The fourth proportional to 649,410.40, 974,269.20 and 206,178.40 is: 309,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,410.40 : 974,269.20 = 206,178.40 : x
  2. Step 2: Convert to fraction form
    649,410.40/974,269.20 = 206,178.40/x
  3. Step 3: Cross multiply
    649,410.40x = 974,269.20 × 206,178.40
  4. Step 4: Simplify right side
    649,410.40x = 200,873,264,825.28
  5. Step 5: Solve for x
    x = 200,873,264,825.28/649,410.40
  6. Step 6: Final answer
    x = 309,316.37

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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.