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Finding the Fourth Proportional to 473,847.28, 653,906.88 and 280,324.48

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Solution

The fourth proportional to 473,847.28, 653,906.88 and 280,324.48 is: 386,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,847.28 : 653,906.88 = 280,324.48 : x
  2. Step 2: Convert to fraction form
    473,847.28/653,906.88 = 280,324.48/x
  3. Step 3: Cross multiply
    473,847.28x = 653,906.88 × 280,324.48
  4. Step 4: Simplify right side
    473,847.28x = 183,306,106,104.42
  5. Step 5: Solve for x
    x = 183,306,106,104.42/473,847.28
  6. Step 6: Final answer
    x = 386,846.38

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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.