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Finding the Fourth Proportional to 713,809.75, 985,144.95 and 412,003.75

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Solution

The fourth proportional to 713,809.75, 985,144.95 and 412,003.75 is: 568,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,809.75 : 985,144.95 = 412,003.75 : x
  2. Step 2: Convert to fraction form
    713,809.75/985,144.95 = 412,003.75/x
  3. Step 3: Cross multiply
    713,809.75x = 985,144.95 × 412,003.75
  4. Step 4: Simplify right side
    713,809.75x = 405,883,413,693.56
  5. Step 5: Solve for x
    x = 405,883,413,693.56/713,809.75
  6. Step 6: Final answer
    x = 568,615.68

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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.