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Finding the Fourth Proportional to 535,819.73, 803,729.55 and 161,842.73

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Solution

The fourth proportional to 535,819.73, 803,729.55 and 161,842.73 is: 242,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,819.73 : 803,729.55 = 161,842.73 : x
  2. Step 2: Convert to fraction form
    535,819.73/803,729.55 = 161,842.73/x
  3. Step 3: Cross multiply
    535,819.73x = 803,729.55 × 161,842.73
  4. Step 4: Simplify right side
    535,819.73x = 130,077,784,553.67
  5. Step 5: Solve for x
    x = 130,077,784,553.67/535,819.73
  6. Step 6: Final answer
    x = 242,764.08

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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.