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Finding the Fourth Proportional to 328,857.27, 493,299.63 and 104,212.74

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Solution

The fourth proportional to 328,857.27, 493,299.63 and 104,212.74 is: 156,323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,857.27 : 493,299.63 = 104,212.74 : x
  2. Step 2: Convert to fraction form
    328,857.27/493,299.63 = 104,212.74/x
  3. Step 3: Cross multiply
    328,857.27x = 493,299.63 × 104,212.74
  4. Step 4: Simplify right side
    328,857.27x = 51,408,106,083.29
  5. Step 5: Solve for x
    x = 51,408,106,083.29/328,857.27
  6. Step 6: Final answer
    x = 156,323.46

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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.