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Finding the Fourth Proportional to 543,084, 814,627.44 and 169,107.36

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Solution

The fourth proportional to 543,084, 814,627.44 and 169,107.36 is: 253,661.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,084 : 814,627.44 = 169,107.36 : x
  2. Step 2: Convert to fraction form
    543,084/814,627.44 = 169,107.36/x
  3. Step 3: Cross multiply
    543,084x = 814,627.44 × 169,107.36
  4. Step 4: Simplify right side
    543,084x = 137,759,495,761.96
  5. Step 5: Solve for x
    x = 137,759,495,761.96/543,084
  6. Step 6: Final answer
    x = 253,661.49

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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.