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Finding the Fourth Proportional to 613,835.68, 847,116.24 and 338,204.88

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Solution

The fourth proportional to 613,835.68, 847,116.24 and 338,204.88 is: 466,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,835.68 : 847,116.24 = 338,204.88 : x
  2. Step 2: Convert to fraction form
    613,835.68/847,116.24 = 338,204.88/x
  3. Step 3: Cross multiply
    613,835.68x = 847,116.24 × 338,204.88
  4. Step 4: Simplify right side
    613,835.68x = 286,498,846,295.25
  5. Step 5: Solve for x
    x = 286,498,846,295.25/613,835.68
  6. Step 6: Final answer
    x = 466,735.41

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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.