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Finding the Fourth Proportional to 649,650.69, 974,581.14 and 200,266.47

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Solution

The fourth proportional to 649,650.69, 974,581.14 and 200,266.47 is: 300,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,650.69 : 974,581.14 = 200,266.47 : x
  2. Step 2: Convert to fraction form
    649,650.69/974,581.14 = 200,266.47/x
  3. Step 3: Cross multiply
    649,650.69x = 974,581.14 × 200,266.47
  4. Step 4: Simplify right side
    649,650.69x = 195,175,924,636.38
  5. Step 5: Solve for x
    x = 195,175,924,636.38/649,650.69
  6. Step 6: Final answer
    x = 300,432.11

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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.