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Finding the Fourth Proportional to 339,957.17, 509,880.31 and 100,014.97

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Solution

The fourth proportional to 339,957.17, 509,880.31 and 100,014.97 is: 150,006.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,957.17 : 509,880.31 = 100,014.97 : x
  2. Step 2: Convert to fraction form
    339,957.17/509,880.31 = 100,014.97/x
  3. Step 3: Cross multiply
    339,957.17x = 509,880.31 × 100,014.97
  4. Step 4: Simplify right side
    339,957.17x = 50,995,663,908.24
  5. Step 5: Solve for x
    x = 50,995,663,908.24/339,957.17
  6. Step 6: Final answer
    x = 150,006.14

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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.