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Finding the Fourth Proportional to 410,847.10, 616,270.65 and 144,907.90

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Solution

The fourth proportional to 410,847.10, 616,270.65 and 144,907.90 is: 217,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,847.10 : 616,270.65 = 144,907.90 : x
  2. Step 2: Convert to fraction form
    410,847.10/616,270.65 = 144,907.90/x
  3. Step 3: Cross multiply
    410,847.10x = 616,270.65 × 144,907.90
  4. Step 4: Simplify right side
    410,847.10x = 89,302,485,723.14
  5. Step 5: Solve for x
    x = 89,302,485,723.14/410,847.10
  6. Step 6: Final answer
    x = 217,361.85

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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.