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Finding the Fourth Proportional to 356,215.70, 534,157.44 and 206,498.82

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Solution

The fourth proportional to 356,215.70, 534,157.44 and 206,498.82 is: 309,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,215.70 : 534,157.44 = 206,498.82 : x
  2. Step 2: Convert to fraction form
    356,215.70/534,157.44 = 206,498.82/x
  3. Step 3: Cross multiply
    356,215.70x = 534,157.44 × 206,498.82
  4. Step 4: Simplify right side
    356,215.70x = 110,302,881,054.22
  5. Step 5: Solve for x
    x = 110,302,881,054.22/356,215.70
  6. Step 6: Final answer
    x = 309,651.94

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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.