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Finding the Fourth Proportional to 412,862.00, 569,754.34 and 229,104.34

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Solution

The fourth proportional to 412,862.00, 569,754.34 and 229,104.34 is: 316,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,862.00 : 569,754.34 = 229,104.34 : x
  2. Step 2: Convert to fraction form
    412,862.00/569,754.34 = 229,104.34/x
  3. Step 3: Cross multiply
    412,862.00x = 569,754.34 × 229,104.34
  4. Step 4: Simplify right side
    412,862.00x = 130,533,188,033.54
  5. Step 5: Solve for x
    x = 130,533,188,033.54/412,862.00
  6. Step 6: Final answer
    x = 316,166.64

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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.