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Finding the Fourth Proportional to 356,626.84, 492,112.38 and 205,694.68

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Solution

The fourth proportional to 356,626.84, 492,112.38 and 205,694.68 is: 283,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,626.84 : 492,112.38 = 205,694.68 : x
  2. Step 2: Convert to fraction form
    356,626.84/492,112.38 = 205,694.68/x
  3. Step 3: Cross multiply
    356,626.84x = 492,112.38 × 205,694.68
  4. Step 4: Simplify right side
    356,626.84x = 101,224,898,528.14
  5. Step 5: Solve for x
    x = 101,224,898,528.14/356,626.84
  6. Step 6: Final answer
    x = 283,839.82

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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.