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Finding the Fourth Proportional to 301,715.28, 416,425.56 and 199,742.64

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Solution

The fourth proportional to 301,715.28, 416,425.56 and 199,742.64 is: 275,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,715.28 : 416,425.56 = 199,742.64 : x
  2. Step 2: Convert to fraction form
    301,715.28/416,425.56 = 199,742.64/x
  3. Step 3: Cross multiply
    301,715.28x = 416,425.56 × 199,742.64
  4. Step 4: Simplify right side
    301,715.28x = 83,177,940,717.88
  5. Step 5: Solve for x
    x = 83,177,940,717.88/301,715.28
  6. Step 6: Final answer
    x = 275,683.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.