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Finding the Fourth Proportional to 369,494.88, 509,903.09 and 199,729.01

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Solution

The fourth proportional to 369,494.88, 509,903.09 and 199,729.01 is: 275,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,494.88 : 509,903.09 = 199,729.01 : x
  2. Step 2: Convert to fraction form
    369,494.88/509,903.09 = 199,729.01/x
  3. Step 3: Cross multiply
    369,494.88x = 509,903.09 × 199,729.01
  4. Step 4: Simplify right side
    369,494.88x = 101,842,435,813.48
  5. Step 5: Solve for x
    x = 101,842,435,813.48/369,494.88
  6. Step 6: Final answer
    x = 275,626.11

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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.