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Finding the Fourth Proportional to 420,208.22, 579,883.63 and 229,217.51

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Solution

The fourth proportional to 420,208.22, 579,883.63 and 229,217.51 is: 316,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,208.22 : 579,883.63 = 229,217.51 : x
  2. Step 2: Convert to fraction form
    420,208.22/579,883.63 = 229,217.51/x
  3. Step 3: Cross multiply
    420,208.22x = 579,883.63 × 229,217.51
  4. Step 4: Simplify right side
    420,208.22x = 132,919,481,758.36
  5. Step 5: Solve for x
    x = 132,919,481,758.36/420,208.22
  6. Step 6: Final answer
    x = 316,318.14

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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.