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Finding the Fourth Proportional to 546,843.72, 820,353.06 and 231,390.84

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Solution

The fourth proportional to 546,843.72, 820,353.06 and 231,390.84 is: 347,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,843.72 : 820,353.06 = 231,390.84 : x
  2. Step 2: Convert to fraction form
    546,843.72/820,353.06 = 231,390.84/x
  3. Step 3: Cross multiply
    546,843.72x = 820,353.06 × 231,390.84
  4. Step 4: Simplify right side
    546,843.72x = 189,822,183,649.97
  5. Step 5: Solve for x
    x = 189,822,183,649.97/546,843.72
  6. Step 6: Final answer
    x = 347,123.28

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1.5x scale

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.