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Finding the Fourth Proportional to 501,346.70, 752,497.56 and 311,231.70

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Solution

The fourth proportional to 501,346.70, 752,497.56 and 311,231.70 is: 467,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,346.70 : 752,497.56 = 311,231.70 : x
  2. Step 2: Convert to fraction form
    501,346.70/752,497.56 = 311,231.70/x
  3. Step 3: Cross multiply
    501,346.70x = 752,497.56 × 311,231.70
  4. Step 4: Simplify right side
    501,346.70x = 234,201,094,844.65
  5. Step 5: Solve for x
    x = 234,201,094,844.65/501,346.70
  6. Step 6: Final answer
    x = 467,143.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.