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Finding the Fourth Proportional to 506,274.50, 698,630.06 and 276,789.15

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Solution

The fourth proportional to 506,274.50, 698,630.06 and 276,789.15 is: 381,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,274.50 : 698,630.06 = 276,789.15 : x
  2. Step 2: Convert to fraction form
    506,274.50/698,630.06 = 276,789.15/x
  3. Step 3: Cross multiply
    506,274.50x = 698,630.06 × 276,789.15
  4. Step 4: Simplify right side
    506,274.50x = 193,373,221,163.82
  5. Step 5: Solve for x
    x = 193,373,221,163.82/506,274.50
  6. Step 6: Final answer
    x = 381,953.31

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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.