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Finding the Fourth Proportional to 547,083.60, 820,543.32 and 173,058

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Solution

The fourth proportional to 547,083.60, 820,543.32 and 173,058 is: 259,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,083.60 : 820,543.32 = 173,058 : x
  2. Step 2: Convert to fraction form
    547,083.60/820,543.32 = 173,058/x
  3. Step 3: Cross multiply
    547,083.60x = 820,543.32 × 173,058
  4. Step 4: Simplify right side
    547,083.60x = 142,001,585,872.56
  5. Step 5: Solve for x
    x = 142,001,585,872.56/547,083.60
  6. Step 6: Final answer
    x = 259,561.04

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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.