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Finding the Fourth Proportional to 420,202.56, 579,887.64 and 229,222.96

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Solution

The fourth proportional to 420,202.56, 579,887.64 and 229,222.96 is: 316,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,202.56 : 579,887.64 = 229,222.96 : x
  2. Step 2: Convert to fraction form
    420,202.56/579,887.64 = 229,222.96/x
  3. Step 3: Cross multiply
    420,202.56x = 579,887.64 × 229,222.96
  4. Step 4: Simplify right side
    420,202.56x = 132,923,561,308.21
  5. Step 5: Solve for x
    x = 132,923,561,308.21/420,202.56
  6. Step 6: Final answer
    x = 316,332.11

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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.