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Finding the Fourth Proportional to 369,501.84, 509,912.28 and 199,736.01

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Solution

The fourth proportional to 369,501.84, 509,912.28 and 199,736.01 is: 275,635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,501.84 : 509,912.28 = 199,736.01 : x
  2. Step 2: Convert to fraction form
    369,501.84/509,912.28 = 199,736.01/x
  3. Step 3: Cross multiply
    369,501.84x = 509,912.28 × 199,736.01
  4. Step 4: Simplify right side
    369,501.84x = 101,847,844,257.20
  5. Step 5: Solve for x
    x = 101,847,844,257.20/369,501.84
  6. Step 6: Final answer
    x = 275,635.55

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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.