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Finding the Fourth Proportional to 506,076.33, 698,385.30 and 276,634.58

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Solution

The fourth proportional to 506,076.33, 698,385.30 and 276,634.58 is: 381,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,076.33 : 698,385.30 = 276,634.58 : x
  2. Step 2: Convert to fraction form
    506,076.33/698,385.30 = 276,634.58/x
  3. Step 3: Cross multiply
    506,076.33x = 698,385.30 × 276,634.58
  4. Step 4: Simplify right side
    506,076.33x = 193,197,524,143.67
  5. Step 5: Solve for x
    x = 193,197,524,143.67/506,076.33
  6. Step 6: Final answer
    x = 381,755.70

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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.