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Finding the Fourth Proportional to 546,819.68, 820,224.60 and 172,842.80

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Solution

The fourth proportional to 546,819.68, 820,224.60 and 172,842.80 is: 259,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,819.68 : 820,224.60 = 172,842.80 : x
  2. Step 2: Convert to fraction form
    546,819.68/820,224.60 = 172,842.80/x
  3. Step 3: Cross multiply
    546,819.68x = 820,224.60 × 172,842.80
  4. Step 4: Simplify right side
    546,819.68x = 141,769,916,492.88
  5. Step 5: Solve for x
    x = 141,769,916,492.88/546,819.68
  6. Step 6: Final answer
    x = 259,262.64

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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.