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Finding the Fourth Proportional to 408,838.80, 613,258.20 and 184,452.60

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Solution

The fourth proportional to 408,838.80, 613,258.20 and 184,452.60 is: 276,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,838.80 : 613,258.20 = 184,452.60 : x
  2. Step 2: Convert to fraction form
    408,838.80/613,258.20 = 184,452.60/x
  3. Step 3: Cross multiply
    408,838.80x = 613,258.20 × 184,452.60
  4. Step 4: Simplify right side
    408,838.80x = 113,117,069,461.32
  5. Step 5: Solve for x
    x = 113,117,069,461.32/408,838.80
  6. Step 6: Final answer
    x = 276,678.90

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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.