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Finding the Fourth Proportional to 362,564.10, 543,846.15 and 162,980.10

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Solution

The fourth proportional to 362,564.10, 543,846.15 and 162,980.10 is: 244,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,564.10 : 543,846.15 = 162,980.10 : x
  2. Step 2: Convert to fraction form
    362,564.10/543,846.15 = 162,980.10/x
  3. Step 3: Cross multiply
    362,564.10x = 543,846.15 × 162,980.10
  4. Step 4: Simplify right side
    362,564.10x = 88,636,099,911.62
  5. Step 5: Solve for x
    x = 88,636,099,911.62/362,564.10
  6. Step 6: Final answer
    x = 244,470.15

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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.