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Finding the Fourth Proportional to 713,902.25, 985,185.11 and 412,096.25

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Solution

The fourth proportional to 713,902.25, 985,185.11 and 412,096.25 is: 568,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,902.25 : 985,185.11 = 412,096.25 : x
  2. Step 2: Convert to fraction form
    713,902.25/985,185.11 = 412,096.25/x
  3. Step 3: Cross multiply
    713,902.25x = 985,185.11 × 412,096.25
  4. Step 4: Simplify right side
    713,902.25x = 405,991,089,386.84
  5. Step 5: Solve for x
    x = 405,991,089,386.84/713,902.25
  6. Step 6: Final answer
    x = 568,692.83

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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.