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Finding the Fourth Proportional to 408,028.30, 612,042.45 and 314,716.30

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Solution

The fourth proportional to 408,028.30, 612,042.45 and 314,716.30 is: 472,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,028.30 : 612,042.45 = 314,716.30 : x
  2. Step 2: Convert to fraction form
    408,028.30/612,042.45 = 314,716.30/x
  3. Step 3: Cross multiply
    408,028.30x = 612,042.45 × 314,716.30
  4. Step 4: Simplify right side
    408,028.30x = 192,619,735,306.94
  5. Step 5: Solve for x
    x = 192,619,735,306.94/408,028.30
  6. Step 6: Final answer
    x = 472,074.45

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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.