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Finding the Fourth Proportional to 361,325.79, 498,699.33 and 208,462.68

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Solution

The fourth proportional to 361,325.79, 498,699.33 and 208,462.68 is: 287,718.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,325.79 : 498,699.33 = 208,462.68 : x
  2. Step 2: Convert to fraction form
    361,325.79/498,699.33 = 208,462.68/x
  3. Step 3: Cross multiply
    361,325.79x = 498,699.33 × 208,462.68
  4. Step 4: Simplify right side
    361,325.79x = 103,960,198,846.00
  5. Step 5: Solve for x
    x = 103,960,198,846.00/361,325.79
  6. Step 6: Final answer
    x = 287,718.73

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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.