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Finding the Fourth Proportional to 412,858.88, 569,749.92 and 229,100.64

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Solution

The fourth proportional to 412,858.88, 569,749.92 and 229,100.64 is: 316,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,858.88 : 569,749.92 = 229,100.64 : x
  2. Step 2: Convert to fraction form
    412,858.88/569,749.92 = 229,100.64/x
  3. Step 3: Cross multiply
    412,858.88x = 569,749.92 × 229,100.64
  4. Step 4: Simplify right side
    412,858.88x = 130,530,071,311.95
  5. Step 5: Solve for x
    x = 130,530,071,311.95/412,858.88
  6. Step 6: Final answer
    x = 316,161.47

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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.