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Finding the Fourth Proportional to 713,806.75, 985,140.81 and 412,000.75

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Solution

The fourth proportional to 713,806.75, 985,140.81 and 412,000.75 is: 568,611.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,806.75 : 985,140.81 = 412,000.75 : x
  2. Step 2: Convert to fraction form
    713,806.75/985,140.81 = 412,000.75/x
  3. Step 3: Cross multiply
    713,806.75x = 985,140.81 × 412,000.75
  4. Step 4: Simplify right side
    713,806.75x = 405,878,752,575.61
  5. Step 5: Solve for x
    x = 405,878,752,575.61/713,806.75
  6. Step 6: Final answer
    x = 568,611.54

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Half scale
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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.