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Finding the Fourth Proportional to 505,635.31, 696,817.38 and 362,146.24

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Solution

The fourth proportional to 505,635.31, 696,817.38 and 362,146.24 is: 499,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,635.31 : 696,817.38 = 362,146.24 : x
  2. Step 2: Convert to fraction form
    505,635.31/696,817.38 = 362,146.24/x
  3. Step 3: Cross multiply
    505,635.31x = 696,817.38 × 362,146.24
  4. Step 4: Simplify right side
    505,635.31x = 252,349,796,362.72
  5. Step 5: Solve for x
    x = 252,349,796,362.72/505,635.31
  6. Step 6: Final answer
    x = 499,074.71

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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.