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Finding the Fourth Proportional to 505,097.56, 697,096.02 and 290,236.96

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Solution

The fourth proportional to 505,097.56, 697,096.02 and 290,236.96 is: 400,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,097.56 : 697,096.02 = 290,236.96 : x
  2. Step 2: Convert to fraction form
    505,097.56/697,096.02 = 290,236.96/x
  3. Step 3: Cross multiply
    505,097.56x = 697,096.02 × 290,236.96
  4. Step 4: Simplify right side
    505,097.56x = 202,323,029,672.90
  5. Step 5: Solve for x
    x = 202,323,029,672.90/505,097.56
  6. Step 6: Final answer
    x = 400,562.28

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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.