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Finding the Fourth Proportional to 521,761.38, 782,992.80 and 184,800.84

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Solution

The fourth proportional to 521,761.38, 782,992.80 and 184,800.84 is: 277,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,761.38 : 782,992.80 = 184,800.84 : x
  2. Step 2: Convert to fraction form
    521,761.38/782,992.80 = 184,800.84/x
  3. Step 3: Cross multiply
    521,761.38x = 782,992.80 × 184,800.84
  4. Step 4: Simplify right side
    521,761.38x = 144,697,727,153.95
  5. Step 5: Solve for x
    x = 144,697,727,153.95/521,761.38
  6. Step 6: Final answer
    x = 277,325.48

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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.