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Finding the Fourth Proportional to 312,266.26, 430,927.32 and 169,027.48

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Solution

The fourth proportional to 312,266.26, 430,927.32 and 169,027.48 is: 233,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,266.26 : 430,927.32 = 169,027.48 : x
  2. Step 2: Convert to fraction form
    312,266.26/430,927.32 = 169,027.48/x
  3. Step 3: Cross multiply
    312,266.26x = 430,927.32 × 169,027.48
  4. Step 4: Simplify right side
    312,266.26x = 72,838,558,962.75
  5. Step 5: Solve for x
    x = 72,838,558,962.75/312,266.26
  6. Step 6: Final answer
    x = 233,257.86

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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.