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Finding the Fourth Proportional to 297,026.91, 409,918.86 and 169,699.77

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Solution

The fourth proportional to 297,026.91, 409,918.86 and 169,699.77 is: 234,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,026.91 : 409,918.86 = 169,699.77 : x
  2. Step 2: Convert to fraction form
    297,026.91/409,918.86 = 169,699.77/x
  3. Step 3: Cross multiply
    297,026.91x = 409,918.86 × 169,699.77
  4. Step 4: Simplify right side
    297,026.91x = 69,563,136,260.66
  5. Step 5: Solve for x
    x = 69,563,136,260.66/297,026.91
  6. Step 6: Final answer
    x = 234,198.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.