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Finding the Fourth Proportional to 420,846.34, 580,767.92 and 229,860.18

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Solution

The fourth proportional to 420,846.34, 580,767.92 and 229,860.18 is: 317,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,846.34 : 580,767.92 = 229,860.18 : x
  2. Step 2: Convert to fraction form
    420,846.34/580,767.92 = 229,860.18/x
  3. Step 3: Cross multiply
    420,846.34x = 580,767.92 × 229,860.18
  4. Step 4: Simplify right side
    420,846.34x = 133,495,418,629.43
  5. Step 5: Solve for x
    x = 133,495,418,629.43/420,846.34
  6. Step 6: Final answer
    x = 317,207.03

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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.