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Finding the Fourth Proportional to 277,801.60, 416,702.40 and 100,314.40

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Solution

The fourth proportional to 277,801.60, 416,702.40 and 100,314.40 is: 150,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,801.60 : 416,702.40 = 100,314.40 : x
  2. Step 2: Convert to fraction form
    277,801.60/416,702.40 = 100,314.40/x
  3. Step 3: Cross multiply
    277,801.60x = 416,702.40 × 100,314.40
  4. Step 4: Simplify right side
    277,801.60x = 41,801,251,234.56
  5. Step 5: Solve for x
    x = 41,801,251,234.56/277,801.60
  6. Step 6: Final answer
    x = 150,471.60

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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.