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Finding the Fourth Proportional to 411,853.01, 617,543.06 and 219,490.70

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Solution

The fourth proportional to 411,853.01, 617,543.06 and 219,490.70 is: 329,110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,853.01 : 617,543.06 = 219,490.70 : x
  2. Step 2: Convert to fraction form
    411,853.01/617,543.06 = 219,490.70/x
  3. Step 3: Cross multiply
    411,853.01x = 617,543.06 × 219,490.70
  4. Step 4: Simplify right side
    411,853.01x = 135,544,954,334.37
  5. Step 5: Solve for x
    x = 135,544,954,334.37/411,853.01
  6. Step 6: Final answer
    x = 329,110.03

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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.