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Finding the Fourth Proportional to 546,769.20, 820,153.80 and 191,819.10

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Solution

The fourth proportional to 546,769.20, 820,153.80 and 191,819.10 is: 287,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,769.20 : 820,153.80 = 191,819.10 : x
  2. Step 2: Convert to fraction form
    546,769.20/820,153.80 = 191,819.10/x
  3. Step 3: Cross multiply
    546,769.20x = 820,153.80 × 191,819.10
  4. Step 4: Simplify right side
    546,769.20x = 157,321,163,777.58
  5. Step 5: Solve for x
    x = 157,321,163,777.58/546,769.20
  6. Step 6: Final answer
    x = 287,728.65

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Similar ratio
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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.