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Finding the Fourth Proportional to 361,104.34, 498,317.86 and 199,955.93

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Solution

The fourth proportional to 361,104.34, 498,317.86 and 199,955.93 is: 275,935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,104.34 : 498,317.86 = 199,955.93 : x
  2. Step 2: Convert to fraction form
    361,104.34/498,317.86 = 199,955.93/x
  3. Step 3: Cross multiply
    361,104.34x = 498,317.86 × 199,955.93
  4. Step 4: Simplify right side
    361,104.34x = 99,641,611,131.91
  5. Step 5: Solve for x
    x = 99,641,611,131.91/361,104.34
  6. Step 6: Final answer
    x = 275,935.79

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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.