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Finding the Fourth Proportional to 654,198.96, 902,662.25 and 382,214.32

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Solution

The fourth proportional to 654,198.96, 902,662.25 and 382,214.32 is: 527,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,198.96 : 902,662.25 = 382,214.32 : x
  2. Step 2: Convert to fraction form
    654,198.96/902,662.25 = 382,214.32/x
  3. Step 3: Cross multiply
    654,198.96x = 902,662.25 × 382,214.32
  4. Step 4: Simplify right side
    654,198.96x = 345,010,438,073.42
  5. Step 5: Solve for x
    x = 345,010,438,073.42/654,198.96
  6. Step 6: Final answer
    x = 527,378.46

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.