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Finding the Fourth Proportional to 420,200.30, 579,880.60 and 229,217.70

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Solution

The fourth proportional to 420,200.30, 579,880.60 and 229,217.70 is: 316,322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,200.30 : 579,880.60 = 229,217.70 : x
  2. Step 2: Convert to fraction form
    420,200.30/579,880.60 = 229,217.70/x
  3. Step 3: Cross multiply
    420,200.30x = 579,880.60 × 229,217.70
  4. Step 4: Simplify right side
    420,200.30x = 132,918,897,406.62
  5. Step 5: Solve for x
    x = 132,918,897,406.62/420,200.30
  6. Step 6: Final answer
    x = 316,322.71

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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.