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Finding the Fourth Proportional to 405,849.48, 560,160.56 and 236,105.88

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Solution

The fourth proportional to 405,849.48, 560,160.56 and 236,105.88 is: 325,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,849.48 : 560,160.56 = 236,105.88 : x
  2. Step 2: Convert to fraction form
    405,849.48/560,160.56 = 236,105.88/x
  3. Step 3: Cross multiply
    405,849.48x = 560,160.56 × 236,105.88
  4. Step 4: Simplify right side
    405,849.48x = 132,257,201,960.09
  5. Step 5: Solve for x
    x = 132,257,201,960.09/405,849.48
  6. Step 6: Final answer
    x = 325,877.47

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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.