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Finding the Fourth Proportional to 412,863.00, 569,755.72 and 229,105.34

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Solution

The fourth proportional to 412,863.00, 569,755.72 and 229,105.34 is: 316,168.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,863.00 : 569,755.72 = 229,105.34 : x
  2. Step 2: Convert to fraction form
    412,863.00/569,755.72 = 229,105.34/x
  3. Step 3: Cross multiply
    412,863.00x = 569,755.72 × 229,105.34
  4. Step 4: Simplify right side
    412,863.00x = 130,534,073,953.24
  5. Step 5: Solve for x
    x = 130,534,073,953.24/412,863.00
  6. Step 6: Final answer
    x = 316,168.02

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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.