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Finding the Fourth Proportional to 277,589.20, 416,383.80 and 178,056.40

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Solution

The fourth proportional to 277,589.20, 416,383.80 and 178,056.40 is: 267,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,589.20 : 416,383.80 = 178,056.40 : x
  2. Step 2: Convert to fraction form
    277,589.20/416,383.80 = 178,056.40/x
  3. Step 3: Cross multiply
    277,589.20x = 416,383.80 × 178,056.40
  4. Step 4: Simplify right side
    277,589.20x = 74,139,800,446.32
  5. Step 5: Solve for x
    x = 74,139,800,446.32/277,589.20
  6. Step 6: Final answer
    x = 267,084.60

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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.