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Finding the Fourth Proportional to 411,536.70, 617,305.05 and 366,921.90

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Solution

The fourth proportional to 411,536.70, 617,305.05 and 366,921.90 is: 550,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,536.70 : 617,305.05 = 366,921.90 : x
  2. Step 2: Convert to fraction form
    411,536.70/617,305.05 = 366,921.90/x
  3. Step 3: Cross multiply
    411,536.70x = 617,305.05 × 366,921.90
  4. Step 4: Simplify right side
    411,536.70x = 226,502,741,825.60
  5. Step 5: Solve for x
    x = 226,502,741,825.60/411,536.70
  6. Step 6: Final answer
    x = 550,382.85

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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.