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Finding the Fourth Proportional to 613,324.57, 920,175.23 and 314,015.33

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Solution

The fourth proportional to 613,324.57, 920,175.23 and 314,015.33 is: 471,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,324.57 : 920,175.23 = 314,015.33 : x
  2. Step 2: Convert to fraction form
    613,324.57/920,175.23 = 314,015.33/x
  3. Step 3: Cross multiply
    613,324.57x = 920,175.23 × 314,015.33
  4. Step 4: Simplify right side
    613,324.57x = 288,949,129,236.64
  5. Step 5: Solve for x
    x = 288,949,129,236.64/613,324.57
  6. Step 6: Final answer
    x = 471,119.44

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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.