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Finding the Fourth Proportional to 547,101.14, 755,125.54 and 320,819.54

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Solution

The fourth proportional to 547,101.14, 755,125.54 and 320,819.54 is: 442,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,101.14 : 755,125.54 = 320,819.54 : x
  2. Step 2: Convert to fraction form
    547,101.14/755,125.54 = 320,819.54/x
  3. Step 3: Cross multiply
    547,101.14x = 755,125.54 × 320,819.54
  4. Step 4: Simplify right side
    547,101.14x = 242,259,023,807.38
  5. Step 5: Solve for x
    x = 242,259,023,807.38/547,101.14
  6. Step 6: Final answer
    x = 442,804.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.