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Finding the Fourth Proportional to 361,295.94, 498,588.42 and 197,953.14

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Solution

The fourth proportional to 361,295.94, 498,588.42 and 197,953.14 is: 273,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,295.94 : 498,588.42 = 197,953.14 : x
  2. Step 2: Convert to fraction form
    361,295.94/498,588.42 = 197,953.14/x
  3. Step 3: Cross multiply
    361,295.94x = 498,588.42 × 197,953.14
  4. Step 4: Simplify right side
    361,295.94x = 98,697,143,306.64
  5. Step 5: Solve for x
    x = 98,697,143,306.64/361,295.94
  6. Step 6: Final answer
    x = 273,175.35

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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.