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Finding the Fourth Proportional to 420,964.29, 580,903.38 and 229,977.63

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Solution

The fourth proportional to 420,964.29, 580,903.38 and 229,977.63 is: 317,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,964.29 : 580,903.38 = 229,977.63 : x
  2. Step 2: Convert to fraction form
    420,964.29/580,903.38 = 229,977.63/x
  3. Step 3: Cross multiply
    420,964.29x = 580,903.38 × 229,977.63
  4. Step 4: Simplify right side
    420,964.29x = 133,594,782,591.39
  5. Step 5: Solve for x
    x = 133,594,782,591.39/420,964.29
  6. Step 6: Final answer
    x = 317,354.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.