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Finding the Fourth Proportional to 277,920.60, 416,880.90 and 100,433.40

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Solution

The fourth proportional to 277,920.60, 416,880.90 and 100,433.40 is: 150,650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,920.60 : 416,880.90 = 100,433.40 : x
  2. Step 2: Convert to fraction form
    277,920.60/416,880.90 = 100,433.40/x
  3. Step 3: Cross multiply
    277,920.60x = 416,880.90 × 100,433.40
  4. Step 4: Simplify right side
    277,920.60x = 41,868,766,182.06
  5. Step 5: Solve for x
    x = 41,868,766,182.06/277,920.60
  6. Step 6: Final answer
    x = 150,650.10

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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.