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Finding the Fourth Proportional to 413,755.62, 620,682.06 and 147,553.98

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Solution

The fourth proportional to 413,755.62, 620,682.06 and 147,553.98 is: 221,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,755.62 : 620,682.06 = 147,553.98 : x
  2. Step 2: Convert to fraction form
    413,755.62/620,682.06 = 147,553.98/x
  3. Step 3: Cross multiply
    413,755.62x = 620,682.06 × 147,553.98
  4. Step 4: Simplify right side
    413,755.62x = 91,584,108,267.60
  5. Step 5: Solve for x
    x = 91,584,108,267.60/413,755.62
  6. Step 6: Final answer
    x = 221,348.31

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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.