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Finding the Fourth Proportional to 339,628.41, 509,411.37 and 114,963.16

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Solution

The fourth proportional to 339,628.41, 509,411.37 and 114,963.16 is: 172,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,628.41 : 509,411.37 = 114,963.16 : x
  2. Step 2: Convert to fraction form
    339,628.41/509,411.37 = 114,963.16/x
  3. Step 3: Cross multiply
    339,628.41x = 509,411.37 × 114,963.16
  4. Step 4: Simplify right side
    339,628.41x = 58,563,540,260.31
  5. Step 5: Solve for x
    x = 58,563,540,260.31/339,628.41
  6. Step 6: Final answer
    x = 172,434.16

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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.