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Finding the Fourth Proportional to 400,346.98, 552,455.70 and 219,062.44

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Solution

The fourth proportional to 400,346.98, 552,455.70 and 219,062.44 is: 302,293.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,346.98 : 552,455.70 = 219,062.44 : x
  2. Step 2: Convert to fraction form
    400,346.98/552,455.70 = 219,062.44/x
  3. Step 3: Cross multiply
    400,346.98x = 552,455.70 × 219,062.44
  4. Step 4: Simplify right side
    400,346.98x = 121,022,293,633.91
  5. Step 5: Solve for x
    x = 121,022,293,633.91/400,346.98
  6. Step 6: Final answer
    x = 302,293.51

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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.