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Finding the Fourth Proportional to 420,532.12, 580,348.04 and 229,555.72

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Solution

The fourth proportional to 420,532.12, 580,348.04 and 229,555.72 is: 316,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,532.12 : 580,348.04 = 229,555.72 : x
  2. Step 2: Convert to fraction form
    420,532.12/580,348.04 = 229,555.72/x
  3. Step 3: Cross multiply
    420,532.12x = 580,348.04 × 229,555.72
  4. Step 4: Simplify right side
    420,532.12x = 133,222,212,172.79
  5. Step 5: Solve for x
    x = 133,222,212,172.79/420,532.12
  6. Step 6: Final answer
    x = 316,794.38

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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.