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Finding the Fourth Proportional to 336,048.20, 504,072.30 and 285,309.80

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Solution

The fourth proportional to 336,048.20, 504,072.30 and 285,309.80 is: 427,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,048.20 : 504,072.30 = 285,309.80 : x
  2. Step 2: Convert to fraction form
    336,048.20/504,072.30 = 285,309.80/x
  3. Step 3: Cross multiply
    336,048.20x = 504,072.30 × 285,309.80
  4. Step 4: Simplify right side
    336,048.20x = 143,816,767,098.54
  5. Step 5: Solve for x
    x = 143,816,767,098.54/336,048.20
  6. Step 6: Final answer
    x = 427,964.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.