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Finding the Fourth Proportional to 277,874.40, 416,811.60 and 100,322.40

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Solution

The fourth proportional to 277,874.40, 416,811.60 and 100,322.40 is: 150,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,874.40 : 416,811.60 = 100,322.40 : x
  2. Step 2: Convert to fraction form
    277,874.40/416,811.60 = 100,322.40/x
  3. Step 3: Cross multiply
    277,874.40x = 416,811.60 × 100,322.40
  4. Step 4: Simplify right side
    277,874.40x = 41,815,540,059.84
  5. Step 5: Solve for x
    x = 41,815,540,059.84/277,874.40
  6. Step 6: Final answer
    x = 150,483.60

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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.