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Finding the Fourth Proportional to 420,188.45, 579,850.65 and 229,208.67

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Solution

The fourth proportional to 420,188.45, 579,850.65 and 229,208.67 is: 316,302.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,188.45 : 579,850.65 = 229,208.67 : x
  2. Step 2: Convert to fraction form
    420,188.45/579,850.65 = 229,208.67/x
  3. Step 3: Cross multiply
    420,188.45x = 579,850.65 × 229,208.67
  4. Step 4: Simplify right side
    420,188.45x = 132,906,796,285.14
  5. Step 5: Solve for x
    x = 132,906,796,285.14/420,188.45
  6. Step 6: Final answer
    x = 316,302.83

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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.