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Finding the Fourth Proportional to 407,414.40, 611,121.60 and 323,433.60

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Solution

The fourth proportional to 407,414.40, 611,121.60 and 323,433.60 is: 485,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,414.40 : 611,121.60 = 323,433.60 : x
  2. Step 2: Convert to fraction form
    407,414.40/611,121.60 = 323,433.60/x
  3. Step 3: Cross multiply
    407,414.40x = 611,121.60 × 323,433.60
  4. Step 4: Simplify right side
    407,414.40x = 197,657,259,125.76
  5. Step 5: Solve for x
    x = 197,657,259,125.76/407,414.40
  6. Step 6: Final answer
    x = 485,150.40

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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.