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Finding the Fourth Proportional to 336,105.82, 463,830.87 and 185,199.58

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Solution

The fourth proportional to 336,105.82, 463,830.87 and 185,199.58 is: 255,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,105.82 : 463,830.87 = 185,199.58 : x
  2. Step 2: Convert to fraction form
    336,105.82/463,830.87 = 185,199.58/x
  3. Step 3: Cross multiply
    336,105.82x = 463,830.87 × 185,199.58
  4. Step 4: Simplify right side
    336,105.82x = 85,901,282,315.03
  5. Step 5: Solve for x
    x = 85,901,282,315.03/336,105.82
  6. Step 6: Final answer
    x = 255,578.09

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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.