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Finding the Fourth Proportional to 204,384.84, 308,496.87 and 204,384.84

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Solution

The fourth proportional to 204,384.84, 308,496.87 and 204,384.84 is: 308,496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,384.84 : 308,496.87 = 204,384.84 : x
  2. Step 2: Convert to fraction form
    204,384.84/308,496.87 = 204,384.84/x
  3. Step 3: Cross multiply
    204,384.84x = 308,496.87 × 204,384.84
  4. Step 4: Simplify right side
    204,384.84x = 63,052,083,415.45
  5. Step 5: Solve for x
    x = 63,052,083,415.45/204,384.84
  6. Step 6: Final answer
    x = 308,496.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.