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Finding the Fourth Proportional to 326,343.28, 489,661.82 and 176,408.04

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Solution

The fourth proportional to 326,343.28, 489,661.82 and 176,408.04 is: 264,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,343.28 : 489,661.82 = 176,408.04 : x
  2. Step 2: Convert to fraction form
    326,343.28/489,661.82 = 176,408.04/x
  3. Step 3: Cross multiply
    326,343.28x = 489,661.82 × 176,408.04
  4. Step 4: Simplify right side
    326,343.28x = 86,380,281,929.03
  5. Step 5: Solve for x
    x = 86,380,281,929.03/326,343.28
  6. Step 6: Final answer
    x = 264,691.47

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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.