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Finding the Fourth Proportional to 506,201.44, 698,530.08 and 279,832

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Solution

The fourth proportional to 506,201.44, 698,530.08 and 279,832 is: 386,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,201.44 : 698,530.08 = 279,832 : x
  2. Step 2: Convert to fraction form
    506,201.44/698,530.08 = 279,832/x
  3. Step 3: Cross multiply
    506,201.44x = 698,530.08 × 279,832
  4. Step 4: Simplify right side
    506,201.44x = 195,471,069,346.56
  5. Step 5: Solve for x
    x = 195,471,069,346.56/506,201.44
  6. Step 6: Final answer
    x = 386,152.73

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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.