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Finding the Fourth Proportional to 277,734.40, 416,601.60 and 144,874.15

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Solution

The fourth proportional to 277,734.40, 416,601.60 and 144,874.15 is: 217,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,734.40 : 416,601.60 = 144,874.15 : x
  2. Step 2: Convert to fraction form
    277,734.40/416,601.60 = 144,874.15/x
  3. Step 3: Cross multiply
    277,734.40x = 416,601.60 × 144,874.15
  4. Step 4: Simplify right side
    277,734.40x = 60,354,802,688.64
  5. Step 5: Solve for x
    x = 60,354,802,688.64/277,734.40
  6. Step 6: Final answer
    x = 217,311.23

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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.