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Finding the Fourth Proportional to 326,717.52, 489,765.24 and 104,946

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Solution

The fourth proportional to 326,717.52, 489,765.24 and 104,946 is: 157,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,717.52 : 489,765.24 = 104,946 : x
  2. Step 2: Convert to fraction form
    326,717.52/489,765.24 = 104,946/x
  3. Step 3: Cross multiply
    326,717.52x = 489,765.24 × 104,946
  4. Step 4: Simplify right side
    326,717.52x = 51,398,902,877.04
  5. Step 5: Solve for x
    x = 51,398,902,877.04/326,717.52
  6. Step 6: Final answer
    x = 157,319.09

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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.