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Finding the Fourth Proportional to 332,209.94, 458,290.25 and 217,438.05

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Solution

The fourth proportional to 332,209.94, 458,290.25 and 217,438.05 is: 299,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,209.94 : 458,290.25 = 217,438.05 : x
  2. Step 2: Convert to fraction form
    332,209.94/458,290.25 = 217,438.05/x
  3. Step 3: Cross multiply
    332,209.94x = 458,290.25 × 217,438.05
  4. Step 4: Simplify right side
    332,209.94x = 99,649,737,206.82
  5. Step 5: Solve for x
    x = 99,649,737,206.82/332,209.94
  6. Step 6: Final answer
    x = 299,960.14

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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.