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Finding the Fourth Proportional to 468,410.75, 646,494.41 and 267,206.75

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Solution

The fourth proportional to 468,410.75, 646,494.41 and 267,206.75 is: 368,795.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,410.75 : 646,494.41 = 267,206.75 : x
  2. Step 2: Convert to fraction form
    468,410.75/646,494.41 = 267,206.75/x
  3. Step 3: Cross multiply
    468,410.75x = 646,494.41 × 267,206.75
  4. Step 4: Simplify right side
    468,410.75x = 172,747,668,853.23
  5. Step 5: Solve for x
    x = 172,747,668,853.23/468,410.75
  6. Step 6: Final answer
    x = 368,795.27

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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.