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Finding the Fourth Proportional to 400,429.15, 552,584.84 and 219,137.42

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Solution

The fourth proportional to 400,429.15, 552,584.84 and 219,137.42 is: 302,405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,429.15 : 552,584.84 = 219,137.42 : x
  2. Step 2: Convert to fraction form
    400,429.15/552,584.84 = 219,137.42/x
  3. Step 3: Cross multiply
    400,429.15x = 552,584.84 × 219,137.42
  4. Step 4: Simplify right side
    400,429.15x = 121,092,016,454.49
  5. Step 5: Solve for x
    x = 121,092,016,454.49/400,429.15
  6. Step 6: Final answer
    x = 302,405.60

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