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Finding the Fourth Proportional to 547,046.10, 820,487.07 and 173,020.50

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Solution

The fourth proportional to 547,046.10, 820,487.07 and 173,020.50 is: 259,504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,046.10 : 820,487.07 = 173,020.50 : x
  2. Step 2: Convert to fraction form
    547,046.10/820,487.07 = 173,020.50/x
  3. Step 3: Cross multiply
    547,046.10x = 820,487.07 × 173,020.50
  4. Step 4: Simplify right side
    547,046.10x = 141,961,083,094.94
  5. Step 5: Solve for x
    x = 141,961,083,094.94/547,046.10
  6. Step 6: Final answer
    x = 259,504.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.