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Finding the Fourth Proportional to 349,091.94, 481,792.14 and 213,097.44

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Solution

The fourth proportional to 349,091.94, 481,792.14 and 213,097.44 is: 294,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,091.94 : 481,792.14 = 213,097.44 : x
  2. Step 2: Convert to fraction form
    349,091.94/481,792.14 = 213,097.44/x
  3. Step 3: Cross multiply
    349,091.94x = 481,792.14 × 213,097.44
  4. Step 4: Simplify right side
    349,091.94x = 102,668,671,646.12
  5. Step 5: Solve for x
    x = 102,668,671,646.12/349,091.94
  6. Step 6: Final answer
    x = 294,102.10

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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.