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Finding the Fourth Proportional to 349,139.76, 481,828.68 and 205,905.84

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Solution

The fourth proportional to 349,139.76, 481,828.68 and 205,905.84 is: 284,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,139.76 : 481,828.68 = 205,905.84 : x
  2. Step 2: Convert to fraction form
    349,139.76/481,828.68 = 205,905.84/x
  3. Step 3: Cross multiply
    349,139.76x = 481,828.68 × 205,905.84
  4. Step 4: Simplify right side
    349,139.76x = 99,211,339,091.49
  5. Step 5: Solve for x
    x = 99,211,339,091.49/349,139.76
  6. Step 6: Final answer
    x = 284,159.38

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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.