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Finding the Fourth Proportional to 412,794.84, 569,719.14 and 251,743.32

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Solution

The fourth proportional to 412,794.84, 569,719.14 and 251,743.32 is: 347,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,794.84 : 569,719.14 = 251,743.32 : x
  2. Step 2: Convert to fraction form
    412,794.84/569,719.14 = 251,743.32/x
  3. Step 3: Cross multiply
    412,794.84x = 569,719.14 × 251,743.32
  4. Step 4: Simplify right side
    412,794.84x = 143,422,987,771.15
  5. Step 5: Solve for x
    x = 143,422,987,771.15/412,794.84
  6. Step 6: Final answer
    x = 347,443.75

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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.