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Finding the Fourth Proportional to 985,190.30, 1,477,847.87 and 416,465.40

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Solution

The fourth proportional to 985,190.30, 1,477,847.87 and 416,465.40 is: 624,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,190.30 : 1,477,847.87 = 416,465.40 : x
  2. Step 2: Convert to fraction form
    985,190.30/1,477,847.87 = 416,465.40/x
  3. Step 3: Cross multiply
    985,190.30x = 1,477,847.87 × 416,465.40
  4. Step 4: Simplify right side
    985,190.30x = 615,472,505,359.86
  5. Step 5: Solve for x
    x = 615,472,505,359.86/985,190.30
  6. Step 6: Final answer
    x = 624,724.49

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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.