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Finding the Fourth Proportional to 413,936.90, 620,385.94 and 177,000.97

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Solution

The fourth proportional to 413,936.90, 620,385.94 and 177,000.97 is: 265,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,936.90 : 620,385.94 = 177,000.97 : x
  2. Step 2: Convert to fraction form
    413,936.90/620,385.94 = 177,000.97/x
  3. Step 3: Cross multiply
    413,936.90x = 620,385.94 × 177,000.97
  4. Step 4: Simplify right side
    413,936.90x = 109,808,912,987.87
  5. Step 5: Solve for x
    x = 109,808,912,987.87/413,936.90
  6. Step 6: Final answer
    x = 265,279.35

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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.