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Finding the Fourth Proportional to 415,214.80, 622,822.20 and 321,902.80

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Solution

The fourth proportional to 415,214.80, 622,822.20 and 321,902.80 is: 482,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,214.80 : 622,822.20 = 321,902.80 : x
  2. Step 2: Convert to fraction form
    415,214.80/622,822.20 = 321,902.80/x
  3. Step 3: Cross multiply
    415,214.80x = 622,822.20 × 321,902.80
  4. Step 4: Simplify right side
    415,214.80x = 200,488,210,082.16
  5. Step 5: Solve for x
    x = 200,488,210,082.16/415,214.80
  6. Step 6: Final answer
    x = 482,854.20

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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.