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Finding the Fourth Proportional to 283,323.52, 424,828 and 131,354.56

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Solution

The fourth proportional to 283,323.52, 424,828 and 131,354.56 is: 196,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,323.52 : 424,828 = 131,354.56 : x
  2. Step 2: Convert to fraction form
    283,323.52/424,828 = 131,354.56/x
  3. Step 3: Cross multiply
    283,323.52x = 424,828 × 131,354.56
  4. Step 4: Simplify right side
    283,323.52x = 55,803,095,015.68
  5. Step 5: Solve for x
    x = 55,803,095,015.68/283,323.52
  6. Step 6: Final answer
    x = 196,958.92

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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.