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Finding the Fourth Proportional to 649,400.40, 974,254.20 and 206,168.40

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Solution

The fourth proportional to 649,400.40, 974,254.20 and 206,168.40 is: 309,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,400.40 : 974,254.20 = 206,168.40 : x
  2. Step 2: Convert to fraction form
    649,400.40/974,254.20 = 206,168.40/x
  3. Step 3: Cross multiply
    649,400.40x = 974,254.20 × 206,168.40
  4. Step 4: Simplify right side
    649,400.40x = 200,860,429,607.28
  5. Step 5: Solve for x
    x = 200,860,429,607.28/649,400.40
  6. Step 6: Final answer
    x = 309,301.36

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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.