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Finding the Fourth Proportional to 521,754.40, 782,982.32 and 184,793.84

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Solution

The fourth proportional to 521,754.40, 782,982.32 and 184,793.84 is: 277,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,754.40 : 782,982.32 = 184,793.84 : x
  2. Step 2: Convert to fraction form
    521,754.40/782,982.32 = 184,793.84/x
  3. Step 3: Cross multiply
    521,754.40x = 782,982.32 × 184,793.84
  4. Step 4: Simplify right side
    521,754.40x = 144,690,309,564.91
  5. Step 5: Solve for x
    x = 144,690,309,564.91/521,754.40
  6. Step 6: Final answer
    x = 277,314.98

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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.