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Finding the Fourth Proportional to 412,782.52, 569,606.68 and 229,027

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Solution

The fourth proportional to 412,782.52, 569,606.68 and 229,027 is: 316,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,782.52 : 569,606.68 = 229,027 : x
  2. Step 2: Convert to fraction form
    412,782.52/569,606.68 = 229,027/x
  3. Step 3: Cross multiply
    412,782.52x = 569,606.68 × 229,027
  4. Step 4: Simplify right side
    412,782.52x = 130,455,309,100.36
  5. Step 5: Solve for x
    x = 130,455,309,100.36/412,782.52
  6. Step 6: Final answer
    x = 316,038.84

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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.