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Finding the Fourth Proportional to 361,045.82, 498,258.80 and 199,900.86

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Solution

The fourth proportional to 361,045.82, 498,258.80 and 199,900.86 is: 275,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,045.82 : 498,258.80 = 199,900.86 : x
  2. Step 2: Convert to fraction form
    361,045.82/498,258.80 = 199,900.86/x
  3. Step 3: Cross multiply
    361,045.82x = 498,258.80 × 199,900.86
  4. Step 4: Simplify right side
    361,045.82x = 99,602,361,623.06
  5. Step 5: Solve for x
    x = 99,602,361,623.06/361,045.82
  6. Step 6: Final answer
    x = 275,871.81

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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.