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Finding the Fourth Proportional to 311,952.70, 467,929.05 and 238,224.70

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Solution

The fourth proportional to 311,952.70, 467,929.05 and 238,224.70 is: 357,337.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,952.70 : 467,929.05 = 238,224.70 : x
  2. Step 2: Convert to fraction form
    311,952.70/467,929.05 = 238,224.70/x
  3. Step 3: Cross multiply
    311,952.70x = 467,929.05 × 238,224.70
  4. Step 4: Simplify right side
    311,952.70x = 111,472,257,557.54
  5. Step 5: Solve for x
    x = 111,472,257,557.54/311,952.70
  6. Step 6: Final answer
    x = 357,337.05

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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.