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Finding the Fourth Proportional to 366,754.50, 506,145.51 and 205,619.97

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Solution

The fourth proportional to 366,754.50, 506,145.51 and 205,619.97 is: 283,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,754.50 : 506,145.51 = 205,619.97 : x
  2. Step 2: Convert to fraction form
    366,754.50/506,145.51 = 205,619.97/x
  3. Step 3: Cross multiply
    366,754.50x = 506,145.51 × 205,619.97
  4. Step 4: Simplify right side
    366,754.50x = 104,073,624,581.84
  5. Step 5: Solve for x
    x = 104,073,624,581.84/366,754.50
  6. Step 6: Final answer
    x = 283,769.18

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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.