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Finding the Fourth Proportional to 420,609.67, 580,438.39 and 229,623.07

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Solution

The fourth proportional to 420,609.67, 580,438.39 and 229,623.07 is: 316,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,609.67 : 580,438.39 = 229,623.07 : x
  2. Step 2: Convert to fraction form
    420,609.67/580,438.39 = 229,623.07/x
  3. Step 3: Cross multiply
    420,609.67x = 580,438.39 × 229,623.07
  4. Step 4: Simplify right side
    420,609.67x = 133,282,045,057.66
  5. Step 5: Solve for x
    x = 133,282,045,057.66/420,609.67
  6. Step 6: Final answer
    x = 316,878.22

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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.