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Finding the Fourth Proportional to 548,347.32, 820,246.50 and 514,755

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Solution

The fourth proportional to 548,347.32, 820,246.50 and 514,755 is: 769,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,347.32 : 820,246.50 = 514,755 : x
  2. Step 2: Convert to fraction form
    548,347.32/820,246.50 = 514,755/x
  3. Step 3: Cross multiply
    548,347.32x = 820,246.50 × 514,755
  4. Step 4: Simplify right side
    548,347.32x = 422,225,987,107.50
  5. Step 5: Solve for x
    x = 422,225,987,107.50/548,347.32
  6. Step 6: Final answer
    x = 769,997.36

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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.