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Finding the Fourth Proportional to 379,347.10, 569,301.27 and 179,667.82

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Solution

The fourth proportional to 379,347.10, 569,301.27 and 179,667.82 is: 269,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,347.10 : 569,301.27 = 179,667.82 : x
  2. Step 2: Convert to fraction form
    379,347.10/569,301.27 = 179,667.82/x
  3. Step 3: Cross multiply
    379,347.10x = 569,301.27 × 179,667.82
  4. Step 4: Simplify right side
    379,347.10x = 102,285,118,104.13
  5. Step 5: Solve for x
    x = 102,285,118,104.13/379,347.10
  6. Step 6: Final answer
    x = 269,634.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.