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Finding the Fourth Proportional to 713,712.64, 984,852.48 and 412,003.84

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Solution

The fourth proportional to 713,712.64, 984,852.48 and 412,003.84 is: 568,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,712.64 : 984,852.48 = 412,003.84 : x
  2. Step 2: Convert to fraction form
    713,712.64/984,852.48 = 412,003.84/x
  3. Step 3: Cross multiply
    713,712.64x = 984,852.48 × 412,003.84
  4. Step 4: Simplify right side
    713,712.64x = 405,763,003,593.52
  5. Step 5: Solve for x
    x = 405,763,003,593.52/713,712.64
  6. Step 6: Final answer
    x = 568,524.33

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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.