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Finding the Fourth Proportional to 282,793.65, 424,168.43 and 164,389.47

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Solution

The fourth proportional to 282,793.65, 424,168.43 and 164,389.47 is: 246,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,793.65 : 424,168.43 = 164,389.47 : x
  2. Step 2: Convert to fraction form
    282,793.65/424,168.43 = 164,389.47/x
  3. Step 3: Cross multiply
    282,793.65x = 424,168.43 × 164,389.47
  4. Step 4: Simplify right side
    282,793.65x = 69,728,822,576.48
  5. Step 5: Solve for x
    x = 69,728,822,576.48/282,793.65
  6. Step 6: Final answer
    x = 246,571.39

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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.