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Finding the Fourth Proportional to 293,605.30, 405,177.35 and 159,469.30

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Solution

The fourth proportional to 293,605.30, 405,177.35 and 159,469.30 is: 220,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,605.30 : 405,177.35 = 159,469.30 : x
  2. Step 2: Convert to fraction form
    293,605.30/405,177.35 = 159,469.30/x
  3. Step 3: Cross multiply
    293,605.30x = 405,177.35 × 159,469.30
  4. Step 4: Simplify right side
    293,605.30x = 64,613,348,380.36
  5. Step 5: Solve for x
    x = 64,613,348,380.36/293,605.30
  6. Step 6: Final answer
    x = 220,068.74

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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.