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Finding the Fourth Proportional to 362,571.20, 543,856.80 and 308,916.80

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Solution

The fourth proportional to 362,571.20, 543,856.80 and 308,916.80 is: 463,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,571.20 : 543,856.80 = 308,916.80 : x
  2. Step 2: Convert to fraction form
    362,571.20/543,856.80 = 308,916.80/x
  3. Step 3: Cross multiply
    362,571.20x = 543,856.80 × 308,916.80
  4. Step 4: Simplify right side
    362,571.20x = 168,006,502,314.24
  5. Step 5: Solve for x
    x = 168,006,502,314.24/362,571.20
  6. Step 6: Final answer
    x = 463,375.20

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Why These Related Problems?

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