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Finding the Fourth Proportional to 522,006.48, 783,014.31 and 206,463.33

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Solution

The fourth proportional to 522,006.48, 783,014.31 and 206,463.33 is: 309,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,006.48 : 783,014.31 = 206,463.33 : x
  2. Step 2: Convert to fraction form
    522,006.48/783,014.31 = 206,463.33/x
  3. Step 3: Cross multiply
    522,006.48x = 783,014.31 × 206,463.33
  4. Step 4: Simplify right side
    522,006.48x = 161,663,741,880.25
  5. Step 5: Solve for x
    x = 161,663,741,880.25/522,006.48
  6. Step 6: Final answer
    x = 309,696.81

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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.