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Finding the Fourth Proportional to 348,515.70, 522,097.20 and 204,072.45

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Solution

The fourth proportional to 348,515.70, 522,097.20 and 204,072.45 is: 305,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,515.70 : 522,097.20 = 204,072.45 : x
  2. Step 2: Convert to fraction form
    348,515.70/522,097.20 = 204,072.45/x
  3. Step 3: Cross multiply
    348,515.70x = 522,097.20 × 204,072.45
  4. Step 4: Simplify right side
    348,515.70x = 106,545,654,742.14
  5. Step 5: Solve for x
    x = 106,545,654,742.14/348,515.70
  6. Step 6: Final answer
    x = 305,712.64

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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.