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Finding the Fourth Proportional to 649,503.40, 974,408.70 and 206,271.40

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Solution

The fourth proportional to 649,503.40, 974,408.70 and 206,271.40 is: 309,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,503.40 : 974,408.70 = 206,271.40 : x
  2. Step 2: Convert to fraction form
    649,503.40/974,408.70 = 206,271.40/x
  3. Step 3: Cross multiply
    649,503.40x = 974,408.70 × 206,271.40
  4. Step 4: Simplify right side
    649,503.40x = 200,992,646,721.18
  5. Step 5: Solve for x
    x = 200,992,646,721.18/649,503.40
  6. Step 6: Final answer
    x = 309,455.88

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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.