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Finding the Fourth Proportional to 420,190.34, 579,866.37 and 229,204.58

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Solution

The fourth proportional to 420,190.34, 579,866.37 and 229,204.58 is: 316,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,190.34 : 579,866.37 = 229,204.58 : x
  2. Step 2: Convert to fraction form
    420,190.34/579,866.37 = 229,204.58/x
  3. Step 3: Cross multiply
    420,190.34x = 579,866.37 × 229,204.58
  4. Step 4: Simplify right side
    420,190.34x = 132,908,027,791.98
  5. Step 5: Solve for x
    x = 132,908,027,791.98/420,190.34
  6. Step 6: Final answer
    x = 316,304.34

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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.