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Finding the Fourth Proportional to 362,515.90, 543,984.50 and 149,305.27

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Solution

The fourth proportional to 362,515.90, 543,984.50 and 149,305.27 is: 224,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,515.90 : 543,984.50 = 149,305.27 : x
  2. Step 2: Convert to fraction form
    362,515.90/543,984.50 = 149,305.27/x
  3. Step 3: Cross multiply
    362,515.90x = 543,984.50 × 149,305.27
  4. Step 4: Simplify right side
    362,515.90x = 81,219,752,648.32
  5. Step 5: Solve for x
    x = 81,219,752,648.32/362,515.90
  6. Step 6: Final answer
    x = 224,044.66

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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.