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Finding the Fourth Proportional to 442,862.60, 664,293.90 and 431,198.60

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Solution

The fourth proportional to 442,862.60, 664,293.90 and 431,198.60 is: 646,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,862.60 : 664,293.90 = 431,198.60 : x
  2. Step 2: Convert to fraction form
    442,862.60/664,293.90 = 431,198.60/x
  3. Step 3: Cross multiply
    442,862.60x = 664,293.90 × 431,198.60
  4. Step 4: Simplify right side
    442,862.60x = 286,442,599,668.54
  5. Step 5: Solve for x
    x = 286,442,599,668.54/442,862.60
  6. Step 6: Final answer
    x = 646,797.90

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Double scale
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Similar ratio
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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.