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Finding the Fourth Proportional to 506,196.45, 698,529.65 and 276,749.73

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Solution

The fourth proportional to 506,196.45, 698,529.65 and 276,749.73 is: 381,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,196.45 : 698,529.65 = 276,749.73 : x
  2. Step 2: Convert to fraction form
    506,196.45/698,529.65 = 276,749.73/x
  3. Step 3: Cross multiply
    506,196.45x = 698,529.65 × 276,749.73
  4. Step 4: Simplify right side
    506,196.45x = 193,317,890,650.75
  5. Step 5: Solve for x
    x = 193,317,890,650.75/506,196.45
  6. Step 6: Final answer
    x = 381,902.90

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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.