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Finding the Fourth Proportional to 405,711.96, 608,324.92 and 192,532.92

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Solution

The fourth proportional to 405,711.96, 608,324.92 and 192,532.92 is: 288,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,711.96 : 608,324.92 = 192,532.92 : x
  2. Step 2: Convert to fraction form
    405,711.96/608,324.92 = 192,532.92/x
  3. Step 3: Cross multiply
    405,711.96x = 608,324.92 × 192,532.92
  4. Step 4: Simplify right side
    405,711.96x = 117,122,573,156.37
  5. Step 5: Solve for x
    x = 117,122,573,156.37/405,711.96
  6. Step 6: Final answer
    x = 288,684.05

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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.