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Finding the Fourth Proportional to 335,187.94, 462,708.47 and 199,265.90

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Solution

The fourth proportional to 335,187.94, 462,708.47 and 199,265.90 is: 275,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,187.94 : 462,708.47 = 199,265.90 : x
  2. Step 2: Convert to fraction form
    335,187.94/462,708.47 = 199,265.90/x
  3. Step 3: Cross multiply
    335,187.94x = 462,708.47 × 199,265.90
  4. Step 4: Simplify right side
    335,187.94x = 92,202,019,712.17
  5. Step 5: Solve for x
    x = 92,202,019,712.17/335,187.94
  6. Step 6: Final answer
    x = 275,075.59

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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.