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Finding the Fourth Proportional to 421,176, 581,214.26 and 230,190.78

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Solution

The fourth proportional to 421,176, 581,214.26 and 230,190.78 is: 317,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,176 : 581,214.26 = 230,190.78 : x
  2. Step 2: Convert to fraction form
    421,176/581,214.26 = 230,190.78/x
  3. Step 3: Cross multiply
    421,176x = 581,214.26 × 230,190.78
  4. Step 4: Simplify right side
    421,176x = 133,790,162,705.57
  5. Step 5: Solve for x
    x = 133,790,162,705.57/421,176
  6. Step 6: Final answer
    x = 317,658.56

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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.