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Finding the Fourth Proportional to 254,084.74, 380,461.28 and 178,797.26

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Solution

The fourth proportional to 254,084.74, 380,461.28 and 178,797.26 is: 267,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,084.74 : 380,461.28 = 178,797.26 : x
  2. Step 2: Convert to fraction form
    254,084.74/380,461.28 = 178,797.26/x
  3. Step 3: Cross multiply
    254,084.74x = 380,461.28 × 178,797.26
  4. Step 4: Simplify right side
    254,084.74x = 68,025,434,400.09
  5. Step 5: Solve for x
    x = 68,025,434,400.09/254,084.74
  6. Step 6: Final answer
    x = 267,727.35

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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.